225891600 has 240 divisors, whose sum is σ = 801704640. Its totient is φ = 53913600.

The previous prime is 225891593. The next prime is 225891607. The reversal of 225891600 is 6198522.

225891600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225891593) and next prime (225891607).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (225891607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438722 + ... + 1438878.

It is an arithmetic number, because the mean of its divisors is an integer number (3340436).

Almost surely, 2^225891600 is an apocalyptic number.

225891600 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 225891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400852320).

225891600 is an abundant number, since it is smaller than the sum of its proper divisors (575813040).

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

225891600 is a wasteful number, since it uses less digits than its factorization.

225891600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 225891600 is about 15029.6906155782. The cubic root of 225891600 is about 609.0225320003.

The spelling of 225891600 in words is "two hundred twenty-five million, eight hundred ninety-one thousand, six hundred".