225578640 has 320 divisors, whose sum is σ = 868515840. Its totient is φ = 47278080.

The previous prime is 225578629. The next prime is 225578737. The reversal of 225578640 is 46875522.

It is a super-3 number, since 3×225578640³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180945 + ... + 1181135.

It is an arithmetic number, because the mean of its divisors is an integer number (2714112).

Almost surely, 2^225578640 is an apocalyptic number.

225578640 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 225578640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434257920).

225578640 is an abundant number, since it is smaller than the sum of its proper divisors (642937200).

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

225578640 is a wasteful number, since it uses less digits than its factorization.

225578640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 225578640 is about 15019.2756150222. The cubic root of 225578640 is about 608.7411466203.

The spelling of 225578640 in words is "two hundred twenty-five million, five hundred seventy-eight thousand, six hundred forty".