225071162320 has 20 divisors (see below), whose sum is σ = 523290452580. Its totient is φ = 90028464896.

The previous prime is 225071162291. The next prime is 225071162339. The reversal of 225071162320 is 23261170522.

It can be written as a sum of positive squares in 2 ways, for example, as 25265738304 + 199805424016 = 158952^2 + 446996^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×225071162320⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1406694685 + ... + 1406694844.

It is an arithmetic number, because the mean of its divisors is an integer number (26164522629).

Almost surely, 2^225071162320 is an apocalyptic number.

225071162320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225071162320 is an abundant number, since it is smaller than the sum of its proper divisors (298219290260).

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

225071162320 is a wasteful number, since it uses less digits than its factorization.

225071162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813389542 (or 2813389536 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 225071162320 in words is "two hundred twenty-five billion, seventy-one million, one hundred sixty-two thousand, three hundred twenty".