225133152 has 48 divisors (see below), whose sum is σ = 593635392. Its totient is φ = 74706560.

The previous prime is 225133099. The next prime is 225133171. The reversal of 225133152 is 251331522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×225133152² = 101369872258910208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16627 + ... + 26957.

It is an arithmetic number, because the mean of its divisors is an integer number (12367404).

Almost surely, 2^225133152 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 225133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296817696).

225133152 is an abundant number, since it is smaller than the sum of its proper divisors (368502240).

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

225133152 is a wasteful number, since it uses less digits than its factorization.

225133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10571 (or 10563 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 225133152 is about 15004.4377435477. The cubic root of 225133152 is about 608.3401547660.

Adding to 225133152 its reverse (251331522), we get a palindrome (476464674).

The spelling of 225133152 in words is "two hundred twenty-five million, one hundred thirty-three thousand, one hundred fifty-two".