225761088 has 224 divisors, whose sum is σ = 743516928. Its totient is φ = 58982400.

The previous prime is 225761083. The next prime is 225761101. The reversal of 225761088 is 880167522.

225761088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225761083) 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, 936648 + ... + 936888.

It is an arithmetic number, because the mean of its divisors is an integer number (3319272).

Almost surely, 2^225761088 is an apocalyptic number.

225761088 is a gapful number since it is divisible by the number (28) 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 225761088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371758464).

225761088 is an abundant number, since it is smaller than the sum of its proper divisors (517755840).

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

225761088 is a wasteful number, since it uses less digits than its factorization.

225761088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 225761088 is about 15025.3481823218. The cubic root of 225761088 is about 608.9052190039.

The spelling of 225761088 in words is "two hundred twenty-five million, seven hundred sixty-one thousand, eighty-eight".