225661600 has 72 divisors (see below), whose sum is σ = 553277088. Its totient is φ = 89875200.

The previous prime is 225661591. The next prime is 225661633. The reversal of 225661600 is 6166522.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 248347 + ... + 249253.

It is an arithmetic number, because the mean of its divisors is an integer number (7684404).

Almost surely, 2^225661600 is an apocalyptic number.

225661600 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 225661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276638544).

225661600 is an abundant number, since it is smaller than the sum of its proper divisors (327615488).

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

225661600 is a wasteful number, since it uses less digits than its factorization.

225661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 225661600 is about 15022.0371454740. The cubic root of 225661600 is about 608.8157621010.

It can be divided in two parts, 225 and 661600, that added together give a triangular number (661825 = T₁₁₅₀).

The spelling of 225661600 in words is "two hundred twenty-five million, six hundred sixty-one thousand, six hundred".