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223211212020 = 223253779424243
BaseRepresentation
bin1100111111100001101…
…1001100110011110100
3210100010222021102111200
43033320123030303310
512124114032241040
6250313010532500
722061244666036
oct3177033146364
9710128242450
10223211212020
1186732a01355
1237314b97130
131808308ca64
14ab36a6dc56
155c160a5630
hex33f86cccf4

223211212020 has 144 divisors (see below), whose sum is σ = 704177160960. Its totient is φ = 57181033728.

The previous prime is 223211212001. The next prime is 223211212043. The reversal of 223211212020 is 20212112322.

223211212020 is a `hidden beast` number, since 22 + 321 + 121 + 202 + 0 = 666.

It is a super-3 number, since 3×2232112120203 (a number of 35 digits) contains 333 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 = 223211211984 and 223211212002.

It is a congruent number.

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, 314019 + ... + 738261.

Almost surely, 2223211212020 is an apocalyptic number.

223211212020 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 223211212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352088580480).

223211212020 is an abundant number, since it is smaller than the sum of its proper divisors (480965948940).

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

223211212020 is a wasteful number, since it uses less digits than its factorization.

223211212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424374 (or 424369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 223211212020 its reverse (20212112322), we get a palindrome (243423324342).

The spelling of 223211212020 in words is "two hundred twenty-three billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 79 90 111 148 158 180 185 222 237 316 333 370 395 444 474 555 666 711 740 790 948 1110 1185 1332 1422 1580 1665 2220 2370 2844 2923 3330 3555 4740 5846 6660 7110 8769 11692 14220 14615 17538 26307 29230 35076 43845 52614 58460 87690 105228 131535 175380 263070 424243 526140 848486 1272729 1696972 2121215 2545458 3818187 4242430 5090916 6363645 7636374 8484860 12727290 15272748 15696991 19090935 25454580 31393982 33515197 38181870 47090973 62787964 67030394 76363740 78484955 94181946 100545591 134060788 141272919 156969910 167575985 188363892 201091182 235454865 282545838 301636773 313939820 335151970 402182364 470909730 502727955 565091676 603273546 670303940 706364595 941819460 1005455910 1206547092 1240062289 1412729190 1508183865 2010911820 2480124578 2825458380 3016367730 3720186867 4960249156 6032735460 6200311445 7440373734 11160560601 12400622890 14880747468 18600934335 22321121202 24801245780 37201868670 44642242404 55802803005 74403737340 111605606010 223211212020