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232102332220 = 2251111361915083
BaseRepresentation
bin1101100000101001100…
…0001000011100111100
3211012002121111010111211
43120022120020130330
512300321144112340
6254343142254204
722524466162213
oct3301230103474
9735077433454
10232102332220
118a485796580
1238b96727364
1318b6c10a825
14b33b82207a
1560869265ea
hex360a60873c

232102332220 has 96 divisors (see below), whose sum is σ = 537333108480. Its totient is φ = 83513256960.

The previous prime is 232102332179. The next prime is 232102332257. The reversal of 232102332220 is 22233201232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 232102332191 and 232102332200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15380799 + ... + 15395881.

It is an arithmetic number, because the mean of its divisors is an integer number (5597219880).

Almost surely, 2232102332220 is an apocalyptic number.

232102332220 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 232102332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268666554240).

232102332220 is an abundant number, since it is smaller than the sum of its proper divisors (305230776260).

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

232102332220 is a wasteful number, since it uses less digits than its factorization.

232102332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15835 (or 15833 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 232102332220 its reverse (22233201232), we get a palindrome (254335533452).

The spelling of 232102332220 in words is "two hundred thirty-two billion, one hundred two million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 619 1130 1238 1243 2260 2476 2486 3095 4972 6190 6215 6809 12380 12430 13618 15083 24860 27236 30166 34045 60332 68090 69947 75415 136180 139894 150830 165913 279788 301660 331826 349735 663652 699470 769417 829565 1398940 1538834 1659130 1704379 3077668 3318260 3408758 3847085 6817516 7694170 8521895 9336377 15388340 17043790 18672754 18748169 34087580 37345508 37496338 46681885 74992676 93363770 93740845 102700147 186727540 187481690 205400294 374963380 410800588 513500735 1027001470 1055010601 2054002940 2110021202 4220042404 5275053005 10550106010 11605116611 21100212020 23210233222 46420466444 58025583055 116051166110 232102332220