225844920 has 384 divisors, whose sum is σ = 898560000. Its totient is φ = 49109760.

The previous prime is 225844919. The next prime is 225844921. The reversal of 225844920 is 29448522.

It is an interprime number because it is at equal distance from previous prime (225844919) and next prime (225844921).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225844921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3827851 + ... + 3827909.

It is an arithmetic number, because the mean of its divisors is an integer number (2340000).

Almost surely, 2^225844920 is an apocalyptic number.

225844920 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 225844920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449280000).

225844920 is an abundant number, since it is smaller than the sum of its proper divisors (672715080).

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

225844920 is a wasteful number, since it uses less digits than its factorization.

225844920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 225844920 is about 15028.1376091650. The cubic root of 225844920 is about 608.9805780568.

The spelling of 225844920 in words is "two hundred twenty-five million, eight hundred forty-four thousand, nine hundred twenty".