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232103088 = 243271912119
BaseRepresentation
bin11011101010110…
…01110010110000
3121011202001120200
431311121302300
5433404244323
635010435200
75515562250
oct1565316260
9534661520
10232103088
1110a01a538
1265892b00
1339117609
1422b7b960
151559b443
hexdd59cb0

232103088 has 120 divisors (see below), whose sum is σ = 781497600. Its totient is φ = 62819712.

The previous prime is 232103063. The next prime is 232103089. The reversal of 232103088 is 880301232.

It is not an unprimeable number, because it can be changed into a prime (232103089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13093 + ... + 25211.

It is an arithmetic number, because the mean of its divisors is an integer number (6512480).

Almost surely, 2232103088 is an apocalyptic number.

232103088 is a gapful number since it is divisible by the number (28) 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 232103088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390748800).

232103088 is an abundant number, since it is smaller than the sum of its proper divisors (549394512).

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

232103088 is a wasteful number, since it uses less digits than its factorization.

232103088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12159 (or 12150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 232103088 is about 15234.9298652800. The cubic root of 232103088 is about 614.5543628664.

The spelling of 232103088 in words is "two hundred thirty-two million, one hundred three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 12119 19152 24238 36357 48476 72714 84833 96952 109071 145428 169666 193904 218142 230261 254499 290856 339332 436284 460522 508998 581712 678664 690783 763497 872568 921044 1017996 1357328 1381566 1526994 1611827 1745136 1842088 2035992 2072349 2763132 3053988 3223654 3684176 4071984 4144698 4835481 5526264 6107976 6447308 8289396 9670962 11052528 12215952 12894616 14506443 16578792 19341924 25789232 29012886 33157584 38683848 58025772 77367696 116051544 232103088