225235920 has 160 divisors (see below), whose sum is σ = 859444992. Its totient is φ = 47517696.

The previous prime is 225235903. The next prime is 225235921. The reversal of 225235920 is 29532522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225235921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16684 + ... + 26996.

Almost surely, 2^225235920 is an apocalyptic number.

225235920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225235920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429722496).

225235920 is an abundant number, since it is smaller than the sum of its proper divisors (634209072).

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

225235920 is a wasteful number, since it uses less digits than its factorization.

225235920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 225235920 is about 15007.8619396635. The cubic root of 225235920 is about 608.4327050194.

The spelling of 225235920 in words is "two hundred twenty-five million, two hundred thirty-five thousand, nine hundred twenty".