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202211030030220 = 2232533718223182929
BaseRepresentation
bin101101111110100011101100…
…100111010101011110001100
3222111222012000100201011222200
4231332203230213111132030
5203001011142141431340
61554022244220241500
760410156554425231
oct5576435447253614
9874865010634880
10202211030030220
1159481241904292
121a819a289a0290
1388aa559052703
1437d10cd441788
151859e8da13330
hexb7e8ec9d578c

202211030030220 has 144 divisors (see below), whose sum is σ = 615230679423360. Its totient is φ = 53759688450048.

The previous prime is 202211030030213. The next prime is 202211030030227. The reversal of 202211030030220 is 22030030112202.

202211030030220 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 110 + 300 + 30 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (202211030030213) and next prime (202211030030227).

It is a super-2 number, since 2×2022110300302202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202211030030193 and 202211030030202.

It is not an unprimeable number, because it can be changed into a prime (202211030030227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105315716 + ... + 1105498644.

Almost surely, 2202211030030220 is an apocalyptic number.

202211030030220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202211030030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307615339711680).

202211030030220 is an abundant number, since it is smaller than the sum of its proper divisors (413019649393140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202211030030220 is a wasteful number, since it uses less digits than its factorization.

202211030030220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201504 (or 201499 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202211030030220 its reverse (22030030112202), we get a palindrome (224241060142422).

The spelling of 202211030030220 in words is "two hundred two trillion, two hundred eleven billion, thirty million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1685 2022 3033 3370 4044 5055 6066 6740 10110 12132 15165 18223 20220 30330 36446 54669 60660 72892 91115 109338 164007 182230 182929 218676 273345 328014 364460 365858 546690 548787 656028 731716 820035 914645 1093380 1097574 1640070 1646361 1829290 2195148 2743935 3280140 3292722 3658580 5487870 6141151 6585444 8231805 10975740 12282302 16463610 18423453 24564604 30705755 32927220 36846906 55270359 61411510 61647073 73693812 92117265 110540718 122823020 123294146 184234530 184941219 221081436 246588292 276351795 308235365 368469060 369882438 552703590 554823657 616470730 739764876 924706095 1105407180 1109647314 1232941460 1849412190 2219294628 2774118285 3333515167 3698824380 5548236570 6667030334 10000545501 11096473140 13334060668 16667575835 20001091002 30001636503 33335151670 40002182004 50002727505 60003273006 66670303340 100005455010 120006546012 150008182515 200010910020 300016365030 600032730060 1123394611279 2246789222558 3370183833837 4493578445116 5616973056395 6740367667674 10110551501511 11233946112790 13480735335348 16850919169185 20221103003022 22467892225580 33701838338370 40442206006044 50552757507555 67403676676740 101105515015110 202211030030220