222386972400 has 360 divisors, whose sum is σ = 813630111840. Its totient is φ = 56137973760.

The previous prime is 222386972399. The next prime is 222386972407. The reversal of 222386972400 is 4279683222.

222386972400 is a `hidden beast` number, since 2 + 2 + 238 + 6 + 9 + 7 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222386972407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8017756 + ... + 8045444.

It is an arithmetic number, because the mean of its divisors is an integer number (2260083644).

Almost surely, 2^222386972400 is an apocalyptic number.

222386972400 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 222386972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406815055920).

222386972400 is an abundant number, since it is smaller than the sum of its proper divisors (591243139440).

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

222386972400 is a wasteful number, since it uses less digits than its factorization.

222386972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27833 (or 27819 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 222386972400 in words is "two hundred twenty-two billion, three hundred eighty-six million, nine hundred seventy-two thousand, four hundred".