225116550 has 144 divisors (see below), whose sum is σ = 660099120. Its totient is φ = 56401920.

The previous prime is 225116543. The next prime is 225116587. The reversal of 225116550 is 55611522.

225116550 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 1 + 655 + 0 = 666.

It is a super-2 number, since 2×225116550² = 101354922167805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 389862 + ... + 390438.

Almost surely, 2^225116550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225116550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330049560).

225116550 is an abundant number, since it is smaller than the sum of its proper divisors (434982570).

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

225116550 is a wasteful number, since it uses less digits than its factorization.

225116550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 225116550 is about 15003.8844970228. The cubic root of 225116550 is about 608.3252007837.

The spelling of 225116550 in words is "two hundred twenty-five million, one hundred sixteen thousand, five hundred fifty".