22461016900 has 81 divisors (see below), whose sum is σ = 56724518487. Its totient is φ = 7697323200.

The previous prime is 22461016889. The next prime is 22461016937. The reversal of 22461016900 is 961016422.

The square root of 22461016900 is 149870.

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 3851691844 + 18609325056 = 62062^2 + 136416^2 .

It is a super-2 number, since 2×22461016900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10489830 + ... + 10491970.

Almost surely, 2^22461016900 is an apocalyptic number.

22461016900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22461016900 is the 149870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22461016900

22461016900 is an abundant number, since it is smaller than the sum of its proper divisors (34263501587).

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

22461016900 is an equidigital number, since it uses as much as digits as its factorization.

22461016900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 22461016900 by its product of nonzero digits (5184), we get a square (116437911609600 = 10790640²).

It can be divided in two parts, 2246101 and 6900, that added together give a square (2253001 = 1501²).

The spelling of 22461016900 in words is "twenty-two billion, four hundred sixty-one million, sixteen thousand, nine hundred".