225605800 has 72 divisors (see below), whose sum is σ = 610198110. Its totient is φ = 77347200.

The previous prime is 225605797. The next prime is 225605803. The reversal of 225605800 is 8506522.

225605800 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 (225605797) and next prime (225605803).

It can be written as a sum of positive squares in 3 ways, for example, as 122014116 + 103591684 = 11046^2 + 10178^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (225605803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1711 + ... + 21310.

Almost surely, 2^225605800 is an apocalyptic number.

225605800 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 225605800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305099055).

225605800 is an abundant number, since it is smaller than the sum of its proper divisors (384592310).

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

225605800 is a wasteful number, since it uses less digits than its factorization.

225605800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23051 (or 23035 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 225605800 is about 15020.1797592439. The cubic root of 225605800 is about 608.7655767496.

The spelling of 225605800 in words is "two hundred twenty-five million, six hundred five thousand, eight hundred".