225553356 has 192 divisors, whose sum is σ = 698844160. Its totient is φ = 61585920.

The previous prime is 225553337. The next prime is 225553357. The reversal of 225553356 is 653355522.

225553356 is a `hidden beast` number, since 2 + 255 + 53 + 356 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225553356.

It is not an unprimeable number, because it can be changed into a prime (225553357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3089736 + ... + 3089808.

Almost surely, 2^225553356 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 225553356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349422080).

225553356 is an abundant number, since it is smaller than the sum of its proper divisors (473290804).

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

225553356 is a wasteful number, since it uses less digits than its factorization.

225553356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its digits is 135000, while the sum is 36.

The square root of 225553356 is about 15018.4338730774. The cubic root of 225553356 is about 608.7184021704.

It can be divided in two parts, 2255 and 53356, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 225553356 in words is "two hundred twenty-five million, five hundred fifty-three thousand, three hundred fifty-six".