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232214412232 = 231141155341443
BaseRepresentation
bin1101100001000100001…
…1101011101111001000
3211012101102101101101101
43120101003223233020
512301033342142412
6254402224431144
722530326636125
oct3302103535710
9735342341341
10232214412232
118a532a88990
12390081784b4
1318b893c086a
14b34c67974c
1560916b5457
hex36110ebbc8

232214412232 has 64 divisors (see below), whose sum is σ = 486894058560. Its totient is φ = 102908774400.

The previous prime is 232214412187. The next prime is 232214412251.

232214412232 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 232214412232.

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, 5582503 + ... + 5623945.

It is an arithmetic number, because the mean of its divisors is an integer number (7607719665).

Almost surely, 2232214412232 is an apocalyptic number.

232214412232 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 232214412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243447029280).

232214412232 is an abundant number, since it is smaller than the sum of its proper divisors (254679646328).

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

232214412232 is a wasteful number, since it uses less digits than its factorization.

232214412232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43054 (or 43050 counting only the distinct ones).

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

It can be divided in two parts, 232214 and 412232, that added together give a palindrome (644446).

The spelling of 232214412232 in words is "two hundred thirty-two billion, two hundred fourteen million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1553 1804 3106 3608 6212 12424 17083 34166 41443 63673 68332 82886 127346 136664 165772 254692 331544 455873 509384 700403 911746 1400806 1699163 1823492 2801612 3398326 3646984 5603224 6796652 13593304 18690793 37381586 64360979 74763172 128721958 149526344 257443916 514887832 707970769 1415941538 2638800139 2831883076 5277600278 5663766152 10555200556 21110401112 29026801529 58053603058 116107206116 232214412232