225677800 has 48 divisors (see below), whose sum is σ = 538899660. Its totient is φ = 87828480.

The previous prime is 225677791. The next prime is 225677807. The reversal of 225677800 is 8776522.

It can be written as a sum of positive squares in 6 ways, for example, as 161645796 + 64032004 = 12714^2 + 8002^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 225677800.

It is not an unprimeable number, because it can be changed into a prime (225677807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7849 + ... + 22648.

Almost surely, 2^225677800 is an apocalyptic number.

225677800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225677800 is an abundant number, since it is smaller than the sum of its proper divisors (313221860).

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

225677800 is a wasteful number, since it uses less digits than its factorization.

225677800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30550 (or 30541 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 225677800 is about 15022.5763436236. The cubic root of 225677800 is about 608.8303304921.

The spelling of 225677800 in words is "two hundred twenty-five million, six hundred seventy-seven thousand, eight hundred".