23265144 has 160 divisors (see below), whose sum is σ = 78059520. Its totient is φ = 6329664.

The previous prime is 23265133. The next prime is 23265181. The reversal of 23265144 is 44156232.

23265144 is a `hidden beast` number, since 2 + 3 + 2 + 651 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104217 + ... + 104439.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 2^23265144 is an apocalyptic number.

23265144 is a gapful number since it is divisible by the number (24) 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 23265144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029760).

23265144 is an abundant number, since it is smaller than the sum of its proper divisors (54794376).

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

23265144 is a wasteful number, since it uses less digits than its factorization.

23265144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 23265144 is about 4823.3954845109. The cubic root of 23265144 is about 285.4753286803.

It can be divided in two parts, 23265 and 144, that added together give a square (23409 = 153²).

The spelling of 23265144 in words is "twenty-three million, two hundred sixty-five thousand, one hundred forty-four".