22402800 has 270 divisors, whose sum is σ = 91148928. Its totient is φ = 5080320.

The previous prime is 22402789. The next prime is 22402811. The reversal of 22402800 is 820422.

It is an interprime number because it is at equal distance from previous prime (22402789) and next prime (22402811).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176337 + ... + 176463.

Almost surely, 2^22402800 is an apocalyptic number.

22402800 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 22402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45574464).

22402800 is an abundant number, since it is smaller than the sum of its proper divisors (68746128).

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

22402800 is a wasteful number, since it uses less digits than its factorization.

22402800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22402800 is about 4733.1596212256. The cubic root of 22402800 is about 281.9036942911.

The spelling of 22402800 in words is "twenty-two million, four hundred two thousand, eight hundred".