238239225 has 105 divisors (see below), whose sum is σ = 514851007. Its totient is φ = 108909360.

The previous prime is 238239191. The next prime is 238239251. The reversal of 238239225 is 522932832.

The square root of 238239225 is 15435.

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

It can be written as a sum of positive squares in only one way, i.e., 85766121 + 152473104 = 9261^2 + 12348^2 .

It is a tau number, because it is divible by the number of its divisors (105).

It is not a de Polignac number, because 238239225 - 2⁷ = 238239097 is a prime.

It is a Duffinian number.

Its product of digits (51840) is a multiple of the sum of its prime divisors (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 238239225.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 34034172 + ... + 34034178.

Almost surely, 2^238239225 is an apocalyptic number.

238239225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238239225 is the 15435-th square number.

238239225 is the 7718-th centered octagonal number.

It is an amenable number.

238239225 is an abundant number, since it is smaller than the sum of its proper divisors (276611782).

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

238239225 is an frugal number, since it uses more digits than its factorization.

238239225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 15 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 238239225 is about 619.9230089968.

Multiplying 238239225 by its sum of digits (36), we get a square (8576612100 = 92610²).

The spelling of 238239225 in words is "two hundred thirty-eight million, two hundred thirty-nine thousand, two hundred twenty-five".