225154800 has 360 divisors, whose sum is σ = 894099024. Its totient is φ = 51978240.

The previous prime is 225154771. The next prime is 225154801. The reversal of 225154800 is 8451522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225154801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795459 + ... + 795741.

Almost surely, 2^225154800 is an apocalyptic number.

225154800 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 225154800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447049512).

225154800 is an abundant number, since it is smaller than the sum of its proper divisors (668944224).

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

225154800 is a wasteful number, since it uses less digits than its factorization.

225154800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 225154800 is about 15005.1591127852. The cubic root of 225154800 is about 608.3596527467.

The spelling of 225154800 in words is "two hundred twenty-five million, one hundred fifty-four thousand, eight hundred".