22251600 has 180 divisors, whose sum is σ = 88350496. Its totient is φ = 5080320.

The previous prime is 22251599. The next prime is 22251601. The reversal of 22251600 is 615222.

It is an interprime number because it is at equal distance from previous prime (22251599) and next prime (22251601).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22251601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24759 + ... + 25641.

Almost surely, 2^22251600 is an apocalyptic number.

22251600 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 22251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44175248).

22251600 is an abundant number, since it is smaller than the sum of its proper divisors (66098896).

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

22251600 is a wasteful number, since it uses less digits than its factorization.

22251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

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

The square root of 22251600 is about 4717.1601626402. The cubic root of 22251600 is about 281.2680580998.

Adding to 22251600 its reverse (615222), we get a palindrome (22866822).

The spelling of 22251600 in words is "twenty-two million, two hundred fifty-one thousand, six hundred".