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232630112 = 251113291753
BaseRepresentation
bin11011101110110…
…10011101100000
3121012201211112002
431313122131200
5434023130422
635030023132
75523215621
oct1567323540
9535654462
10232630112
1110a34a4a0
1265aa7aa8
1339270470
1422c77a48
1515652692
hexddda760

232630112 has 96 divisors (see below), whose sum is σ = 556930080. Its totient is φ = 94187520.

The previous prime is 232630093. The next prime is 232630121. The reversal of 232630112 is 211036232.

It is a happy number.

It is a nialpdrome in base 16.

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, 131828 + ... + 133580.

It is an arithmetic number, because the mean of its divisors is an integer number (5801355).

Almost surely, 2232630112 is an apocalyptic number.

232630112 is a gapful number since it is divisible by the number (22) 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 232630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278465040).

232630112 is an abundant number, since it is smaller than the sum of its proper divisors (324299968).

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

232630112 is a wasteful number, since it uses less digits than its factorization.

232630112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 232630112 is about 15252.2166257892. The cubic root of 232630112 is about 615.0191564306.

Adding to 232630112 its reverse (211036232), we get a palindrome (443666344).

The spelling of 232630112 in words is "two hundred thirty-two million, six hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 88 104 116 143 176 208 232 286 319 352 377 416 464 572 638 754 928 1144 1276 1508 1753 2288 2552 3016 3506 4147 4576 5104 6032 7012 8294 10208 12064 14024 16588 19283 22789 28048 33176 38566 45578 50837 56096 66352 77132 91156 101674 132704 154264 182312 203348 250679 308528 364624 406696 501358 559207 617056 660881 729248 813392 1002716 1118414 1321762 1626784 2005432 2236828 2643524 4010864 4473656 5287048 7269691 8021728 8947312 10574096 14539382 17894624 21148192 29078764 58157528 116315056 232630112