225214528 has 112 divisors (see below), whose sum is σ = 581704704. Its totient is φ = 83888640.

The previous prime is 225214511. The next prime is 225214529. The reversal of 225214528 is 825412522.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 225214528.

It is not an unprimeable number, because it can be changed into a prime (225214529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112351 + ... + 114337.

It is an arithmetic number, because the mean of its divisors is an integer number (5193792).

Almost surely, 2^225214528 is an apocalyptic number.

225214528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225214528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290852352).

225214528 is an abundant number, since it is smaller than the sum of its proper divisors (356490176).

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

225214528 is a wasteful number, since it uses less digits than its factorization.

225214528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2030 counting only the distinct ones).

The product of its digits is 12800, while the sum is 31.

The square root of 225214528 is about 15007.1492296172. The cubic root of 225214528 is about 608.4134422474.

The spelling of 225214528 in words is "two hundred twenty-five million, two hundred fourteen thousand, five hundred twenty-eight".