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232330112 = 2771991303
BaseRepresentation
bin11011101100100…
…01001110000000
3121012011120222222
431312101032000
5433434030422
635015350212
75520526160
oct1566211600
9535146888
10232330112
1110a165063
1265982368
1339196a51
1422bda5a0
15155e3842
hexdd91380

232330112 has 64 divisors (see below), whose sum is σ = 532032000. Its totient is φ = 98993664.

The previous prime is 232330103. The next prime is 232330123. The reversal of 232330112 is 211033232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177653 + ... + 178955.

It is an arithmetic number, because the mean of its divisors is an integer number (8313000).

Almost surely, 2232330112 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 232330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266016000).

232330112 is an abundant number, since it is smaller than the sum of its proper divisors (299701888).

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

232330112 is a wasteful number, since it uses less digits than its factorization.

232330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 232330112 is about 15242.3788169695. The cubic root of 232330112 is about 614.7546662848.

Adding to 232330112 its reverse (211033232), we get a palindrome (443363344).

The spelling of 232330112 in words is "two hundred thirty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 199 224 398 448 796 896 1303 1393 1592 2606 2786 3184 5212 5572 6368 9121 10424 11144 12736 18242 20848 22288 25472 36484 41696 44576 72968 83392 89152 145936 166784 178304 259297 291872 518594 583744 1037188 1167488 1815079 2074376 3630158 4148752 7260316 8297504 14520632 16595008 29041264 33190016 58082528 116165056 232330112