225370972800 has 288 divisors, whose sum is σ = 815198982780. Its totient is φ = 59275100160.

The previous prime is 225370972787. The next prime is 225370972817. The reversal of 225370972800 is 8279073522.

225370972800 is a `hidden beast` number, since 2 + 2 + 537 + 0 + 97 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19116933696 + 206254039104 = 138264^2 + 454152^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2048802 + ... + 2155998.

Almost surely, 2^225370972800 is an apocalyptic number.

225370972800 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 225370972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407599491390).

225370972800 is an abundant number, since it is smaller than the sum of its proper divisors (589828009980).

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

225370972800 is a wasteful number, since it uses less digits than its factorization.

225370972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107300 (or 107280 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 225370972800 in words is "two hundred twenty-five billion, three hundred seventy million, nine hundred seventy-two thousand, eight hundred".