22165254400 has 81 divisors (see below), whose sum is σ = 54891963903. Its totient is φ = 8861337600.

The previous prime is 22165254383. The next prime is 22165254407. The reversal of 22165254400 is 445256122.

The square root of 22165254400 is 148880.

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 13481996544 + 8683257856 = 116112^2 + 93184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22165254407) 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 8 ways as a sum of consecutive naturals, for example, 11909470 + ... + 11911330.

Almost surely, 2^22165254400 is an apocalyptic number.

22165254400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22165254400 is the 148880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22165254400

22165254400 is an abundant number, since it is smaller than the sum of its proper divisors (32726709503).

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

22165254400 is an frugal number, since it uses more digits than its factorization.

22165254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 22165254400 in words is "twenty-two billion, one hundred sixty-five million, two hundred fifty-four thousand, four hundred".