242892225 has 27 divisors (see below), whose sum is σ = 435466083. Its totient is φ = 129417840.

The previous prime is 242892191. The next prime is 242892233. The reversal of 242892225 is 522298242.

The square root of 242892225 is 15585.

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

242892225 is a `hidden beast` number, since 2 + 428 + 9 + 2 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87441201 + 155451024 = 9351^2 + 12468^2 .

It is not a de Polignac number, because 242892225 - 2⁹ = 242891713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242892225.

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, 233256 + ... + 234294.

Almost surely, 2^242892225 is an apocalyptic number.

242892225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242892225 is the 15585-th square number.

242892225 is the 7793-rd centered octagonal number.

It is an amenable number.

242892225 is a deficient number, since it is larger than the sum of its proper divisors (192573858).

242892225 is an equidigital number, since it uses as much as digits as its factorization.

242892225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 1047 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The cubic root of 242892225 is about 623.9328777036.

Multiplying 242892225 by its sum of digits (36), we get a square (8744120100 = 93510²).

The spelling of 242892225 in words is "two hundred forty-two million, eight hundred ninety-two thousand, two hundred twenty-five".