225286516 has 96 divisors (see below), whose sum is σ = 524966400. Its totient is φ = 83768832.

The previous prime is 225286489. The next prime is 225286543. The reversal of 225286516 is 615682522.

It is an interprime number because it is at equal distance from previous prime (225286489) and next prime (225286543).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302841 + ... + 303583.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^225286516 is an apocalyptic number.

225286516 is a gapful number since it is divisible by the number (26) 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 225286516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200).

225286516 is an abundant number, since it is smaller than the sum of its proper divisors (299679884).

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

225286516 is a wasteful number, since it uses less digits than its factorization.

225286516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 782 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 225286516 is about 15009.5474948447. The cubic root of 225286516 is about 608.4782601516.

The spelling of 225286516 in words is "two hundred twenty-five million, two hundred eighty-six thousand, five hundred sixteen".