22155600 has 120 divisors (see below), whose sum is σ = 73036000. Its totient is φ = 5736960.

The previous prime is 22155589. The next prime is 22155611. The reversal of 22155600 is 655122.

It is an interprime number because it is at equal distance from previous prime (22155589) and next prime (22155611).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×22155600² = 981741222720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44151 + ... + 44649.

Almost surely, 2^22155600 is an apocalyptic number.

22155600 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 22155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36518000).

22155600 is an abundant number, since it is smaller than the sum of its proper divisors (50880400).

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

22155600 is a wasteful number, since it uses less digits than its factorization.

22155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 22155600 is about 4706.9735499576. The cubic root of 22155600 is about 280.8629837369.

The spelling of 22155600 in words is "twenty-two million, one hundred fifty-five thousand, six hundred".