22273574400 has 1680 divisors, whose sum is σ = 106482613248. Its totient is φ = 4478976000.

The previous prime is 22273574383. The next prime is 22273574419. The reversal of 22273574400 is 447537222.

It is a happy number.

22273574400 is a `hidden beast` number, since 22 + 27 + 3 + 574 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×22273574400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 718502385 + ... + 718502415.

Almost surely, 2^22273574400 is an apocalyptic number.

22273574400 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 22273574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53241306624).

22273574400 is an abundant number, since it is smaller than the sum of its proper divisors (84209038848).

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

22273574400 is an equidigital number, since it uses as much as digits as its factorization.

22273574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 22273574400 in words is "twenty-two billion, two hundred seventy-three million, five hundred seventy-four thousand, four hundred".