225149652 has 192 divisors, whose sum is σ = 742604800. Its totient is φ = 57386880.

The previous prime is 225149641. The next prime is 225149663. The reversal of 225149652 is 256941522.

225149652 is a `hidden beast` number, since 2 + 2 + 514 + 96 + 52 = 666.

225149652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225149641) and next prime (225149663).

It is a super-2 number, since 2×225149652² = 101384731591442208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304299 + ... + 305037.

Almost surely, 2^225149652 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 225149652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371302400).

225149652 is an abundant number, since it is smaller than the sum of its proper divisors (517455148).

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

225149652 is a wasteful number, since it uses less digits than its factorization.

225149652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 225149652 is about 15004.9875708046. The cubic root of 225149652 is about 608.3550161451.

The spelling of 225149652 in words is "two hundred twenty-five million, one hundred forty-nine thousand, six hundred fifty-two".