225886080 has 224 divisors, whose sum is σ = 840012840. Its totient is φ = 51631104.

The previous prime is 225886069. The next prime is 225886091. The reversal of 225886080 is 80688522.

It is an interprime number because it is at equal distance from previous prime (225886069) and next prime (225886091).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×225886080² = 102049042275532800, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 32269437 + ... + 32269443.

Almost surely, 2^225886080 is an apocalyptic number.

225886080 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 225886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420006420).

225886080 is an abundant number, since it is smaller than the sum of its proper divisors (614126760).

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

225886080 is an frugal number, since it uses more digits than its factorization.

225886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 225886080 is about 15029.5069779418. The cubic root of 225886080 is about 609.0175711670.

The spelling of 225886080 in words is "two hundred twenty-five million, eight hundred eighty-six thousand, eighty".