225426240 has 336 divisors, whose sum is σ = 869826048. Its totient is φ = 55240704.

The previous prime is 225426217. The next prime is 225426277. The reversal of 225426240 is 42624522.

It is a happy number.

225426240 is a `hidden beast` number, since 22 + 542 + 62 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010769 + ... + 1010991.

It is an arithmetic number, because the mean of its divisors is an integer number (2588768).

Almost surely, 2^225426240 is an apocalyptic number.

225426240 is a gapful number since it is divisible by the number (20) 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 225426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434913024).

225426240 is an abundant number, since it is smaller than the sum of its proper divisors (644399808).

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

225426240 is a wasteful number, since it uses less digits than its factorization.

225426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 225426240 is about 15014.2012774573. The cubic root of 225426240 is about 608.6040280664.

It can be divided in two parts, 22542 and 6240, that added together give a palindrome (28782).

The spelling of 225426240 in words is "two hundred twenty-five million, four hundred twenty-six thousand, two hundred forty".