225735500 has 48 divisors (see below), whose sum is σ = 495331200. Its totient is φ = 89868800.

The previous prime is 225735473. The next prime is 225735527. The reversal of 225735500 is 5537522.

It is an interprime number because it is at equal distance from previous prime (225735473) and next prime (225735527).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118556 + ... + 120444.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^225735500 is an apocalyptic number.

225735500 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 225735500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

225735500 is an abundant number, since it is smaller than the sum of its proper divisors (269595700).

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

225735500 is a wasteful number, since it uses less digits than its factorization.

225735500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 225735500 is about 15024.4966637821. The cubic root of 225735500 is about 608.8822134813.

The spelling of 225735500 in words is "two hundred twenty-five million, seven hundred thirty-five thousand, five hundred".