222953472000 has 1008 divisors, whose sum is σ = 952676979072. Its totient is φ = 50960793600.

The previous prime is 222953471969. The next prime is 222953472029. The reversal of 222953472000 is 274359222.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 5! ⋅ (2!)⁹.

222953472000 is a `hidden beast` number, since 2 + 2 + 295 + 347 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31850495997 + ... + 31850496003.

Almost surely, 2^222953472000 is an apocalyptic number.

222953472000 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 222953472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476338489536).

222953472000 is an abundant number, since it is smaller than the sum of its proper divisors (729723507072).

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

222953472000 is an frugal number, since it uses more digits than its factorization.

222953472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

222953472000 divided by its product of nonzero digits (60480) gives a square (3686400 = 1920²).

The spelling of 222953472000 in words is "two hundred twenty-two billion, nine hundred fifty-three million, four hundred seventy-two thousand".