225559488 has 336 divisors, whose sum is σ = 799957760. Its totient is φ = 54743040.

The previous prime is 225559487. The next prime is 225559513. The reversal of 225559488 is 884955522.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225559483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3089820 + ... + 3089892.

Almost surely, 2^225559488 is an apocalyptic number.

225559488 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 225559488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399978880).

225559488 is an abundant number, since it is smaller than the sum of its proper divisors (574398272).

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

225559488 is a wasteful number, since it uses less digits than its factorization.

225559488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 48.

The square root of 225559488 is about 15018.6380208060. The cubic root of 225559488 is about 608.7239184224.

The spelling of 225559488 in words is "two hundred twenty-five million, five hundred fifty-nine thousand, four hundred eighty-eight".