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23145144 = 2331187671
BaseRepresentation
bin101100001001…
…0101010111000
31121112220011120
41120102222320
521411121034
62144025240
7400505361
oct130225270
947486146
1023145144
1112079320
127902220
134a44b69
143106b68
152072c49
hex1612ab8

23145144 has 32 divisors (see below), whose sum is σ = 63123840. Its totient is φ = 7013600.

The previous prime is 23145119. The next prime is 23145167. The reversal of 23145144 is 44154132.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43572 + ... + 44099.

It is an arithmetic number, because the mean of its divisors is an integer number (1972620).

Almost surely, 223145144 is an apocalyptic number.

23145144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23145144 is an abundant number, since it is smaller than the sum of its proper divisors (39978696).

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

23145144 is a wasteful number, since it uses less digits than its factorization.

23145144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87691 (or 87687 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 23145144 is about 4810.9400328834. The cubic root of 23145144 is about 284.9836617288.

Adding to 23145144 its reverse (44154132), we get a palindrome (67299276).

The spelling of 23145144 in words is "twenty-three million, one hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 87671 175342 263013 350684 526026 701368 964381 1052052 1928762 2104104 2893143 3857524 5786286 7715048 11572572 23145144