22734500 has 48 divisors (see below), whose sum is σ = 50909040. Its totient is φ = 8864000.

The previous prime is 22734499. The next prime is 22734527. The reversal of 22734500 is 543722.

It can be written as a sum of positive squares in 8 ways, for example, as 19998784 + 2735716 = 4472^2 + 1654^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19946 + ... + 21054.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605).

Almost surely, 2^22734500 is an apocalyptic number.

22734500 is a gapful number since it is divisible by the number (20) 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 22734500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25454520).

22734500 is an abundant number, since it is smaller than the sum of its proper divisors (28174540).

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

22734500 is a wasteful number, since it uses less digits than its factorization.

22734500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 22734500 is about 4768.0708887348. The cubic root of 22734500 is about 283.2881896550.

The spelling of 22734500 in words is "twenty-two million, seven hundred thirty-four thousand, five hundred".