225577402000 has 40 divisors (see below), whose sum is σ = 545446162872. Its totient is φ = 90230960000.

The previous prime is 225577401961. The next prime is 225577402007. The reversal of 225577402000 is 204775522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58473043344 + 167104358656 = 241812^2 + 408784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (225577402007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56392351 + ... + 56396350.

Almost surely, 2^225577402000 is an apocalyptic number.

225577402000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225577402000 is an abundant number, since it is smaller than the sum of its proper divisors (319868760872).

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

225577402000 is a wasteful number, since it uses less digits than its factorization.

225577402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112788724 (or 112788708 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 34.

The spelling of 225577402000 in words is "two hundred twenty-five billion, five hundred seventy-seven million, four hundred two thousand".