225013632 has 64 divisors (see below), whose sum is σ = 632869200. Its totient is φ = 70590464.

The previous prime is 225013631. The next prime is 225013643. The reversal of 225013632 is 236310522.

225013632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×225013632³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225013631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10707 + ... + 23762.

Almost surely, 2^225013632 is an apocalyptic number.

It is an amenable number.

225013632 is an abundant number, since it is smaller than the sum of its proper divisors (407855568).

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

225013632 is a wasteful number, since it uses less digits than its factorization.

225013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34503 (or 34491 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 225013632 is about 15000.4543931176. The cubic root of 225013632 is about 608.2324826541.

The spelling of 225013632 in words is "two hundred twenty-five million, thirteen thousand, six hundred thirty-two".