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232211268216 = 23328467380909
BaseRepresentation
bin1101100001000011011…
…1101100001001111000
3211012101012110122121100
43120100313230021320
512301032041040331
6254402033211400
722530261132654
oct3302067541170
9735335418540
10232211268216
118a531230824
1239007100b60
1318b8885c7b5
14b34c09ba64
156091293ae6
hex3610dec278

232211268216 has 48 divisors (see below), whose sum is σ = 628981446600. Its totient is φ = 77394411072.

The previous prime is 232211268131. The next prime is 232211268259. The reversal of 232211268216 is 612862112232.

232211268216 is a `hidden beast` number, since 2 + 322 + 112 + 6 + 8 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419170 + ... + 800078.

Almost surely, 2232211268216 is an apocalyptic number.

It is an amenable number.

232211268216 is an abundant number, since it is smaller than the sum of its proper divisors (396770178384).

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

232211268216 is a wasteful number, since it uses less digits than its factorization.

232211268216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389388 (or 389381 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 232211268216 in words is "two hundred thirty-two billion, two hundred eleven million, two hundred sixty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8467 16934 25401 33868 50802 67736 76203 101604 152406 203208 304812 380909 609624 761818 1142727 1523636 2285454 3047272 3428181 4570908 6856362 9141816 13712724 27425448 3225156503 6450313006 9675469509 12900626012 19350939018 25801252024 29026408527 38701878036 58052817054 77403756072 116105634108 232211268216