225021144 has 64 divisors (see below), whose sum is σ = 590768640. Its totient is φ = 71287040.

The previous prime is 225021143. The next prime is 225021149. The reversal of 225021144 is 441120522.

225021144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225021144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225021143) 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, 90964 + ... + 93404.

It is an arithmetic number, because the mean of its divisors is an integer number (9230760).

Almost surely, 2^225021144 is an apocalyptic number.

225021144 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 225021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295384320).

225021144 is an abundant number, since it is smaller than the sum of its proper divisors (365747496).

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

225021144 is a wasteful number, since it uses less digits than its factorization.

225021144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 225021144 is about 15000.7047834427. The cubic root of 225021144 is about 608.2392511204.

Adding to 225021144 its reverse (441120522), we get a palindrome (666141666).

The spelling of 225021144 in words is "two hundred twenty-five million, twenty-one thousand, one hundred forty-four".