225884160 has 384 divisors, whose sum is σ = 864864000. Its totient is φ = 55738368.

The previous prime is 225884143. The next prime is 225884167. The reversal of 225884160 is 61488522.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225884167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5253099 + ... + 5253141.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 2^225884160 is an apocalyptic number.

225884160 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 225884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432000).

225884160 is an abundant number, since it is smaller than the sum of its proper divisors (638979840).

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

225884160 is a wasteful number, since it uses less digits than its factorization.

225884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 225884160 is about 15029.4431034553. The cubic root of 225884160 is about 609.0158456408.

The spelling of 225884160 in words is "two hundred twenty-five million, eight hundred eighty-four thousand, one hundred sixty".