225933580 has 48 divisors (see below), whose sum is σ = 491774976. Its totient is φ = 87099840.

The previous prime is 225933563. The next prime is 225933619. The reversal of 225933580 is 85339522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189747 + ... + 190933.

It is an arithmetic number, because the mean of its divisors is an integer number (10245312).

Almost surely, 2^225933580 is an apocalyptic number.

225933580 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 225933580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488).

225933580 is an abundant number, since it is smaller than the sum of its proper divisors (265841396).

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

225933580 is a wasteful number, since it uses less digits than its factorization.

225933580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 225933580 is about 15031.0871196996. The cubic root of 225933580 is about 609.0602568534.

The spelling of 225933580 in words is "two hundred twenty-five million, nine hundred thirty-three thousand, five hundred eighty".