22348800 has 198 divisors, whose sum is σ = 80844218. Its totient is φ = 5898240.

The previous prime is 22348757. The next prime is 22348849. The reversal of 22348800 is 884322.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 21233664 = 1056^2 + 4608^2 .

It is a super-2 number, since 2×22348800² = 998937722880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230352 + ... + 230448.

Almost surely, 2^22348800 is an apocalyptic number.

22348800 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 22348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40422109).

22348800 is an abundant number, since it is smaller than the sum of its proper divisors (58495418).

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

22348800 is a wasteful number, since it uses less digits than its factorization.

22348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22348800 is about 4727.4517448621. The cubic root of 22348800 is about 281.6770106180.

The spelling of 22348800 in words is "twenty-two million, three hundred forty-eight thousand, eight hundred".