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232104912 = 243131919577
BaseRepresentation
bin11011101010110…
…10001111010000
3121011202011002020
431311122033100
5433404324122
635010451440
75515600464
oct1565321720
9534664066
10232104912
1110a020946
1265893b80
13391183b0
1422b7c4a4
151559bc5c
hexdd5a3d0

232104912 has 80 divisors (see below), whose sum is σ = 679748160. Its totient is φ = 67654656.

The previous prime is 232104907. The next prime is 232104947. The reversal of 232104912 is 219401232.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2068 + ... + 21644.

It is an arithmetic number, because the mean of its divisors is an integer number (8496852).

Almost surely, 2232104912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232104912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339874080).

232104912 is an abundant number, since it is smaller than the sum of its proper divisors (447643248).

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

232104912 is a wasteful number, since it uses less digits than its factorization.

232104912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19620 (or 19614 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 232104912 is about 15234.9897275975. The cubic root of 232104912 is about 614.5559727031. Note that the first 3 decimals are identical.

The spelling of 232104912 in words is "two hundred thirty-two million, one hundred four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 19577 39154 58731 78308 117462 156616 234924 254501 313232 371963 469848 509002 743926 763503 939696 1018004 1115889 1487852 1527006 2036008 2231778 2975704 3054012 4072016 4463556 4835519 5951408 6108024 8927112 9671038 12216048 14506557 17854224 19342076 29013114 38684152 58026228 77368304 116052456 232104912