222892573225 has 135 divisors (see below), whose sum is σ = 337669347941. Its totient is φ = 145940188800.

The previous prime is 222892573219. The next prime is 222892573231. The reversal of 222892573225 is 522375298222.

The square root of 222892573225 is 472115.

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

It is an interprime number because it is at equal distance from previous prime (222892573219) and next prime (222892573231).

It can be written as a sum of positive squares in 4 ways, for example, as 93819077401 + 129073495824 = 306299^2 + 359268^2 .

It is not a de Polignac number, because 222892573225 - 2⁹ = 222892572713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (2419200) is a multiple of the sum of its prime divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4742395152 + ... + 4742395198.

Almost surely, 2^222892573225 is an apocalyptic number.

222892573225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

222892573225 is the 472115-th square number.

222892573225 is the 236058-th centered octagonal number.

It is an amenable number.

222892573225 is a deficient number, since it is larger than the sum of its proper divisors (114776774716).

222892573225 is an frugal number, since it uses more digits than its factorization.

222892573225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 100 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

Multiplying 222892573225 by its sum of digits (49), we get a square (10921736088025 = 3304805²).

222892573225 divided by its sum of digits (49) gives a square (4548828025 = 67445²).

The spelling of 222892573225 in words is "two hundred twenty-two billion, eight hundred ninety-two million, five hundred seventy-three thousand, two hundred twenty-five".