225858120 has 64 divisors (see below), whose sum is σ = 680616000. Its totient is φ = 59958528.

The previous prime is 225858109. The next prime is 225858133. The reversal of 225858120 is 21858522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23371 + ... + 31589.

It is an arithmetic number, because the mean of its divisors is an integer number (10634625).

Almost surely, 2^225858120 is an apocalyptic number.

225858120 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 225858120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340308000).

225858120 is an abundant number, since it is smaller than the sum of its proper divisors (454757880).

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

225858120 is a wasteful number, since it uses less digits than its factorization.

225858120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 225858120 is about 15028.5767789235. The cubic root of 225858120 is about 608.9924422260.

It can be divided in two parts, 2258 and 58120, that added together give a triangular number (60378 = T₃₄₇).

The spelling of 225858120 in words is "two hundred twenty-five million, eight hundred fifty-eight thousand, one hundred twenty".