22888800 has 324 divisors, whose sum is σ = 93533076. Its totient is φ = 5222400.

The previous prime is 22888793. The next prime is 22888837. The reversal of 22888800 is 888822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

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, 1346392 + ... + 1346408.

Almost surely, 2^22888800 is an apocalyptic number.

22888800 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 22888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46766538).

22888800 is an abundant number, since it is smaller than the sum of its proper divisors (70644276).

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

22888800 is a wasteful number, since it uses less digits than its factorization.

22888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 22888800 is about 4784.2240750199. The cubic root of 22888800 is about 283.9276414216.

Multiplying 22888800 by its reverse (888822), we get a square (20344068993600 = 4510440²).

The spelling of 22888800 in words is "twenty-two million, eight hundred eighty-eight thousand, eight hundred".