225171144 has 128 divisors (see below), whose sum is σ = 690076800. Its totient is φ = 67461120.

The previous prime is 225171143. The next prime is 225171151. The reversal of 225171144 is 441171522.

225171144 is a `hidden beast` number, since 2 + 2 + 517 + 1 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225171143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229984 + ... + 230960.

It is an arithmetic number, because the mean of its divisors is an integer number (5391225).

Almost surely, 2^225171144 is an apocalyptic number.

225171144 is a gapful number since it is divisible by the number (24) 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 225171144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345038400).

225171144 is an abundant number, since it is smaller than the sum of its proper divisors (464905656).

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

225171144 is a wasteful number, since it uses less digits than its factorization.

225171144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1090 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 225171144 is about 15005.7037155876. The cubic root of 225171144 is about 608.3743726781.

The spelling of 225171144 in words is "two hundred twenty-five million, one hundred seventy-one thousand, one hundred forty-four".