225239040 has 336 divisors, whose sum is σ = 858731328. Its totient is φ = 54263808.

The previous prime is 225239039. The next prime is 225239041. The reversal of 225239040 is 40932522.

It is an interprime number because it is at equal distance from previous prime (225239039) and next prime (225239041).

It is a junction number, because it is equal to n+sod(n) for n = 225238995 and 225239013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225239041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792297 + ... + 4792343.

It is an arithmetic number, because the mean of its divisors is an integer number (2555748).

Almost surely, 2^225239040 is an apocalyptic number.

225239040 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 225239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429365664).

225239040 is an abundant number, since it is smaller than the sum of its proper divisors (633492288).

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

225239040 is a wasteful number, since it uses less digits than its factorization.

225239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 225239040 is about 15007.9658848226. The cubic root of 225239040 is about 608.4355143718.

The spelling of 225239040 in words is "two hundred twenty-five million, two hundred thirty-nine thousand, forty".