22800000 has 192 divisors, whose sum is σ = 79682400. Its totient is φ = 5760000.

The previous prime is 22799999. The next prime is 22800013. The reversal of 22800000 is 822.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a nialpdrome in base 12.

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, 1199991 + ... + 1200009.

Almost surely, 2^22800000 is an apocalyptic number.

22800000 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 22800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841200).

22800000 is an abundant number, since it is smaller than the sum of its proper divisors (56882400).

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

22800000 is an frugal number, since it uses more digits than its factorization.

22800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22800000 is about 4774.9345545253. The cubic root of 22800000 is about 283.5599878035.

Adding to 22800000 its reverse (822), we get a palindrome (22800822).

The spelling of 22800000 in words is "twenty-two million, eight hundred thousand".