225250272 has 144 divisors (see below), whose sum is σ = 730613520. Its totient is φ = 65212416.

The previous prime is 225250253. The next prime is 225250283. The reversal of 225250272 is 272052522.

225250272 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61879 + ... + 65417.

It is an arithmetic number, because the mean of its divisors is an integer number (5073705).

Almost surely, 2^225250272 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 225250272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365306760).

225250272 is an abundant number, since it is smaller than the sum of its proper divisors (505363248).

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

225250272 is a wasteful number, since it uses less digits than its factorization.

225250272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 225250272 is about 15008.3400814347. The cubic root of 225250272 is about 608.4456278260.

It can be divided in two parts, 225250 and 272, that added together give a palindrome (225522).

The spelling of 225250272 in words is "two hundred twenty-five million, two hundred fifty thousand, two hundred seventy-two".