22644230400 has 1215 divisors, whose sum is σ = 97128030153. Its totient is φ = 5200588800.

The previous prime is 22644230393. The next prime is 22644230407. The reversal of 22644230400 is 403244622.

The square root of 22644230400 is 150480.

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

22644230400 is a `hidden beast` number, since 2 + 26 + 4 + 4 + 230 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (22644230393) and next prime (22644230407).

It can be written as a sum of positive squares in only one way, i.e., 8151922944 + 14492307456 = 90288^2 + 120384^2 .

It is a super-2 number, since 2×22644230400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22644230407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1191801591 + ... + 1191801609.

Almost surely, 2^22644230400 is an apocalyptic number.

22644230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22644230400 is the 150480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22644230400

22644230400 is an abundant number, since it is smaller than the sum of its proper divisors (74483799753).

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

22644230400 is a wasteful number, since it uses less digits than its factorization.

22644230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Multiplying 22644230400 by its product of nonzero digits (9216), we get a square (208689227366400 = 14446080²).

The spelling of 22644230400 in words is "twenty-two billion, six hundred forty-four million, two hundred thirty thousand, four hundred".