225969042 has 64 divisors (see below), whose sum is σ = 504282240. Its totient is φ = 67060224.

The previous prime is 225968989. The next prime is 225969113. The reversal of 225969042 is 240969522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298128 + ... + 298884.

It is an arithmetic number, because the mean of its divisors is an integer number (7879410).

Almost surely, 2^225969042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225969042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252141120).

225969042 is an abundant number, since it is smaller than the sum of its proper divisors (278313198).

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

225969042 is a wasteful number, since it uses less digits than its factorization.

225969042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 225969042 is about 15032.2666953457. The cubic root of 225969042 is about 609.0921207385.

The spelling of 225969042 in words is "two hundred twenty-five million, nine hundred sixty-nine thousand, forty-two".