22528157600 has 144 divisors (see below), whose sum is σ = 59315625432. Its totient is φ = 8305704960.

The previous prime is 22528157593. The next prime is 22528157621. The reversal of 22528157600 is 675182522.

It can be written as a sum of positive squares in 12 ways, for example, as 1248350224 + 21279807376 = 35332^2 + 145876^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9910064 + ... + 9912336.

Almost surely, 2^22528157600 is an apocalyptic number.

22528157600 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 22528157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29657812716).

22528157600 is an abundant number, since it is smaller than the sum of its proper divisors (36787467832).

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

22528157600 is a wasteful number, since it uses less digits than its factorization.

22528157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 22528157600 in words is "twenty-two billion, five hundred twenty-eight million, one hundred fifty-seven thousand, six hundred".