22612500 has 144 divisors (see below), whose sum is σ = 74370240. Its totient is φ = 5940000.

The previous prime is 22612493. The next prime is 22612523. The reversal of 22612500 is 521622.

22612500 is a `hidden beast` number, since 2 + 2 + 612 + 50 + 0 = 666.

It is a super-2 number, since 2×22612500² = 1022650312500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337467 + ... + 337533.

It is an arithmetic number, because the mean of its divisors is an integer number (516460).

Almost surely, 2^22612500 is an apocalyptic number.

22612500 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 22612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185120).

22612500 is an abundant number, since it is smaller than the sum of its proper divisors (51757740).

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

22612500 is an equidigital number, since it uses as much as digits as its factorization.

22612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22612500 is about 4755.2602452442. The cubic root of 22612500 is about 282.7805446531.

It can be divided in two parts, 2261 and 2500, that added together give a square (4761 = 69²).

The spelling of 22612500 in words is "twenty-two million, six hundred twelve thousand, five hundred".