225694560 has 192 divisors, whose sum is σ = 875169792. Its totient is φ = 47609856.

The previous prime is 225694543. The next prime is 225694583. The reversal of 225694560 is 65496522.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 41097 + ... + 46263.

It is an arithmetic number, because the mean of its divisors is an integer number (4558176).

Almost surely, 2^225694560 is an apocalyptic number.

225694560 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 225694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437584896).

225694560 is an abundant number, since it is smaller than the sum of its proper divisors (649475232).

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

225694560 is a wasteful number, since it uses less digits than its factorization.

225694560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 225694560 is about 15023.1341603542. The cubic root of 225694560 is about 608.8454017481.

The spelling of 225694560 in words is "two hundred twenty-five million, six hundred ninety-four thousand, five hundred sixty".