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232241142232 = 23115355638951
BaseRepresentation
bin1101100001001010100…
…1101001100111011000
3211012110021200102001101
43120102221221213120
512301112213022412
6254405021401144
722531103065141
oct3302251514730
9735407612041
10232241142232
118a5470855a0
12390151091b4
1318b91abc328
14b352036ac8
156093be5457
hex3612a699d8

232241142232 has 64 divisors (see below), whose sum is σ = 484142780160. Its totient is φ = 103542192000.

The previous prime is 232241142227. The next prime is 232241142311.

232241142232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 232241142232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25941357 + ... + 25950307.

It is an arithmetic number, because the mean of its divisors is an integer number (7564730940).

Almost surely, 2232241142232 is an apocalyptic number.

232241142232 is a gapful number since it is divisible by the number (22) 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 232241142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242071390080).

232241142232 is an abundant number, since it is smaller than the sum of its proper divisors (251901637928).

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

232241142232 is a wasteful number, since it uses less digits than its factorization.

232241142232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14584 (or 14580 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 232241 and 142232, that added together give a palindrome (374473).

The spelling of 232241142232 in words is "two hundred thirty-two billion, two hundred forty-one million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 1166 2332 4664 5563 8951 11126 17902 22252 35804 44504 61193 71608 98461 122386 196922 244772 294839 393844 474403 489544 589678 787688 948806 1179356 1897612 2358712 3243229 3795224 5218433 6486458 10436866 12972916 20873732 25945832 41747464 49794413 99588826 199177652 398355304 547738543 1095477086 2190954172 2639103889 4381908344 5278207778 10556415556 21112831112 29030142779 58060285558 116120571116 232241142232