22010689600 has 63 divisors (see below), whose sum is σ = 54174659367. Its totient is φ = 8801902080.

The previous prime is 22010689579. The next prime is 22010689609. The reversal of 22010689600 is 698601022.

It is a happy number.

The square root of 22010689600 is 148360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3129731136 + 18880958464 = 55944^2 + 137408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22010689609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5932546 + ... + 5936254.

Almost surely, 2^22010689600 is an apocalyptic number.

22010689600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22010689600 is the 148360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010689600

22010689600 is an abundant number, since it is smaller than the sum of its proper divisors (32163969767).

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

22010689600 is an frugal number, since it uses more digits than its factorization.

22010689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 22010689600 in words is "twenty-two billion, ten million, six hundred eighty-nine thousand, six hundred".