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23000112 = 243417747
BaseRepresentation
bin101011110111…
…1010000110000
31121021112020000
41113233100300
521342000422
62140550000
7366332502
oct127572060
947245200
1023000112
1111a8a363
127852300
1349c3b45
1430a9d72
152044cac
hex15ef430

23000112 has 50 divisors (see below), whose sum is σ = 66572748. Its totient is φ = 7666272.

The previous prime is 23000101. The next prime is 23000113. The reversal of 23000112 is 21100032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 23000094 and 23000103.

It is not an unprimeable number, because it can be changed into a prime (23000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7578 + ... + 10169.

Almost surely, 223000112 is an apocalyptic number.

It is an amenable number.

23000112 is an abundant number, since it is smaller than the sum of its proper divisors (43572636).

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

23000112 is a wasteful number, since it uses less digits than its factorization.

23000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17767 (or 17752 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 23000112 is about 4795.8432001057. The cubic root of 23000112 is about 284.3871595976.

Adding to 23000112 its reverse (21100032), we get a palindrome (44100144).

The spelling of 23000112 in words is "twenty-three million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 17747 35494 53241 70988 106482 141976 159723 212964 283952 319446 425928 479169 638892 851856 958338 1277784 1437507 1916676 2555568 2875014 3833352 5750028 7666704 11500056 23000112