225192007936 has 243 divisors, whose sum is σ = 554347772811. Its totient is φ = 91021335552.

The previous prime is 225192007913. The next prime is 225192007961. The reversal of 225192007936 is 639700291522.

The square root of 225192007936 is 474544.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×225192007936² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1009829521 + ... + 1009829743.

Almost surely, 2^225192007936 is an apocalyptic number.

225192007936 is the 474544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225192007936

225192007936 is an abundant number, since it is smaller than the sum of its proper divisors (329155764875).

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

225192007936 is an frugal number, since it uses more digits than its factorization.

225192007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 225192007936 in words is "two hundred twenty-five billion, one hundred ninety-two million, seven thousand, nine hundred thirty-six".