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232211302312 = 23112733286133
BaseRepresentation
bin1101100001000011011…
…1110100011110101000
3211012101012112101101011
43120100313310132220
512301032043133222
6254402034033304
722530261334243
oct3302067643650
9735335471334
10232211302312
118a531254400
1239007118834
1318b88872182
14b34c0aa25a
15609129dc77
hex3610df47a8

232211302312 has 48 divisors (see below), whose sum is σ = 485131962420. Its totient is φ = 104104661760.

The previous prime is 232211302283. The next prime is 232211302319. The reversal of 232211302312 is 213203112232.

232211302312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 231982869316 + 228432996 = 481646^2 + 15114^2 .

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

It is not an unprimeable number, because it can be changed into a prime (232211302319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1572403 + ... + 1713730.

Almost surely, 2232211302312 is an apocalyptic number.

232211302312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232211302312 is an abundant number, since it is smaller than the sum of its proper divisors (252920660108).

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

232211302312 is a wasteful number, since it uses less digits than its factorization.

232211302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286234 (or 3286219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 232211302312 its reverse (213203112232), we get a palindrome (445414414544).

The spelling of 232211302312 in words is "two hundred thirty-two billion, two hundred eleven million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 73 88 121 146 242 292 484 584 803 968 1606 3212 6424 8833 17666 35332 70664 3286133 6572266 13144532 26289064 36147463 72294926 144589852 239887709 289179704 397622093 479775418 795244186 959550836 1590488372 1919101672 2638764799 3180976744 5277529598 10555059196 21110118392 29026412789 58052825578 116105651156 232211302312