225261000 has 256 divisors, whose sum is σ = 798220800. Its totient is φ = 59486400.

The previous prime is 225260969. The next prime is 225261019. The reversal of 225261000 is 162522.

225261000 is a `hidden beast` number, since 2 + 2 + 52 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2186949 + ... + 2187051.

It is an arithmetic number, because the mean of its divisors is an integer number (3118050).

Almost surely, 2^225261000 is an apocalyptic number.

225261000 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 225261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399110400).

225261000 is an abundant number, since it is smaller than the sum of its proper divisors (572959800).

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

225261000 is an equidigital number, since it uses as much as digits as its factorization.

225261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225261000 is about 15008.6974784623. The cubic root of 225261000 is about 608.4552871574.

The spelling of 225261000 in words is "two hundred twenty-five million, two hundred sixty-one thousand".