225400820 has 12 divisors (see below), whose sum is σ = 473341764. Its totient is φ = 90160320.

The previous prime is 225400817. The next prime is 225400823. The reversal of 225400820 is 28004522.

It is an interprime number because it is at equal distance from previous prime (225400817) and next prime (225400823).

It can be written as a sum of positive squares in 2 ways, for example, as 30184036 + 195216784 = 5494^2 + 13972^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225400823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5635001 + ... + 5635040.

It is an arithmetic number, because the mean of its divisors is an integer number (39445147).

Almost surely, 2^225400820 is an apocalyptic number.

225400820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225400820 is an abundant number, since it is smaller than the sum of its proper divisors (247940944).

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

225400820 is a wasteful number, since it uses less digits than its factorization.

225400820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11270050 (or 11270048 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 225400820 is about 15013.3547217136. The cubic root of 225400820 is about 608.5811509663.

The spelling of 225400820 in words is "two hundred twenty-five million, four hundred thousand, eight hundred twenty".