225735552 has 384 divisors, whose sum is σ = 818611200. Its totient is φ = 60963840.

The previous prime is 225735527. The next prime is 225735553. The reversal of 225735552 is 255537522.

225735552 is a `hidden beast` number, since 2 + 257 + 355 + 52 = 666.

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 (225735553) 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, 5249643 + ... + 5249685.

It is an arithmetic number, because the mean of its divisors is an integer number (2131800).

Almost surely, 2^225735552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409305600).

225735552 is an abundant number, since it is smaller than the sum of its proper divisors (592875648).

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

225735552 is a wasteful number, since it uses less digits than its factorization.

225735552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 225735552 is about 15024.4983942892. The cubic root of 225735552 is about 608.8822602349.

The spelling of 225735552 in words is "two hundred twenty-five million, seven hundred thirty-five thousand, five hundred fifty-two".