22153280400 has 180 divisors, whose sum is σ = 77270754132. Its totient is φ = 5877365760.

The previous prime is 22153280371. The next prime is 22153280417. The reversal of 22153280400 is 408235122.

22153280400 is a `hidden beast` number, since 221 + 5 + 32 + 8 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3294300816 + 18858979584 = 57396^2 + 137328^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 693582 + ... + 724818.

Almost surely, 2^22153280400 is an apocalyptic number.

22153280400 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 22153280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38635377066).

22153280400 is an abundant number, since it is smaller than the sum of its proper divisors (55117473732).

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

22153280400 is a wasteful number, since it uses less digits than its factorization.

22153280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31458 (or 31444 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 22153280400 in words is "twenty-two billion, one hundred fifty-three million, two hundred eighty thousand, four hundred".