Search a number
-
+
222040303020 = 223253159966431
BaseRepresentation
bin1100111011001010100…
…0100010010110101100
3210020010101000002022200
43032302220202112230
512114214304144040
6250000502141500
722020236302134
oct3166250422654
9706111002280
10222040303020
1186191a65068
1237048a21890
1317c276128b3
14aa65353ac4
155b983b4630
hex33b2a225ac

222040303020 has 144 divisors (see below), whose sum is σ = 696419942400. Its totient is φ = 57204201600.

The previous prime is 222040302997. The next prime is 222040303073. The reversal of 222040303020 is 20303040222.

It is a super-2 number, since 2×2220403030202 (a number of 23 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 = 222040302984 and 222040303002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3309205 + ... + 3375635.

It is an arithmetic number, because the mean of its divisors is an integer number (4836249600).

Almost surely, 2222040303020 is an apocalyptic number.

222040303020 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 222040303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348209971200).

222040303020 is an abundant number, since it is smaller than the sum of its proper divisors (474379639380).

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

222040303020 is a wasteful number, since it uses less digits than its factorization.

222040303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67076 (or 67071 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 222040303020 its reverse (20303040222), we get a palindrome (242343343242).

The spelling of 222040303020 in words is "two hundred twenty-two billion, forty million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 599 620 930 1116 1198 1395 1797 1860 2396 2790 2995 3594 5391 5580 5990 7188 8985 10782 11980 17970 18569 21564 26955 35940 37138 53910 55707 66431 74276 92845 107820 111414 132862 167121 185690 199293 222828 265724 278535 332155 334242 371380 398586 557070 597879 664310 668484 797172 835605 996465 1114140 1195758 1328620 1671210 1992930 2059361 2391516 2989395 3342420 3985860 4118722 5978790 6178083 8237444 10296805 11957580 12356166 18534249 20593610 24712332 30890415 37068498 39792169 41187220 61780830 74136996 79584338 92671245 119376507 123561660 159168676 185342490 198960845 238753014 358129521 370684980 397921690 477506028 596882535 716259042 795843380 1193765070 1233557239 1432518084 1790647605 2387530140 2467114478 3581295210 3700671717 4934228956 6167786195 7162590420 7401343434 11102015151 12335572390 14802686868 18503358585 22204030302 24671144780 37006717170 44408060604 55510075755 74013434340 111020151510 222040303020