225846500 has 72 divisors (see below), whose sum is σ = 542311224. Its totient is φ = 82104000.

The previous prime is 225846487. The next prime is 225846503. The reversal of 225846500 is 5648522.

225846500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7929856 + 217916644 = 2816^2 + 14762^2 .

It is not an unprimeable number, because it can be changed into a prime (225846503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58634 + ... + 62366.

Almost surely, 2^225846500 is an apocalyptic number.

225846500 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 225846500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271155612).

225846500 is an abundant number, since it is smaller than the sum of its proper divisors (316464724).

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

225846500 is a wasteful number, since it uses less digits than its factorization.

225846500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 225846500 is about 15028.1901771304. The cubic root of 225846500 is about 608.9819981862.

The spelling of 225846500 in words is "two hundred twenty-five million, eight hundred forty-six thousand, five hundred".