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230112456 = 23371996883
BaseRepresentation
bin11011011011100…
…11110011001000
3121000222220221120
431231303303020
5432402044311
634500035240
75462631540
oct1555636310
9530886846
10230112456
1110898a992
1265092b20
133889b522
14227c0320
1515306706
hexdb73cc8

230112456 has 64 divisors (see below), whose sum is σ = 660864000. Its totient is φ = 65406528.

The previous prime is 230112451. The next prime is 230112457. The reversal of 230112456 is 654211032.

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

It is not an unprimeable number, because it can be changed into a prime (230112451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29991 + ... + 36873.

It is an arithmetic number, because the mean of its divisors is an integer number (10326000).

Almost surely, 2230112456 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 230112456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330432000).

230112456 is an abundant number, since it is smaller than the sum of its proper divisors (430751544).

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

230112456 is a wasteful number, since it uses less digits than its factorization.

230112456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098 (or 7094 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 230112456 is about 15169.4579995463. The cubic root of 230112456 is about 612.7924077097.

Adding to 230112456 its reverse (654211032), we get a palindrome (884323488).

The spelling of 230112456 in words is "two hundred thirty million, one hundred twelve thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 2388 2786 4179 4776 5572 6883 8358 11144 13766 16716 20649 27532 33432 41298 48181 55064 82596 96362 144543 165192 192724 289086 385448 578172 1156344 1369717 2739434 4109151 5478868 8218302 9588019 10957736 16436604 19176038 28764057 32873208 38352076 57528114 76704152 115056228 230112456