224400813 has 32 divisors (see below), whose sum is σ = 369551616. Its totient is φ = 117946368.

The previous prime is 224400809. The next prime is 224400817. The reversal of 224400813 is 318004422.

It is an interprime number because it is at equal distance from previous prime (224400809) and next prime (224400817).

It is not a de Polignac number, because 224400813 - 2² = 224400809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224400817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85245 + ... + 87837.

It is an arithmetic number, because the mean of its divisors is an integer number (11548488).

Almost surely, 2^224400813 is an apocalyptic number.

It is an amenable number.

224400813 is a deficient number, since it is larger than the sum of its proper divisors (145150803).

224400813 is a wasteful number, since it uses less digits than its factorization.

224400813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 224400813 is about 14980.0137850404. The cubic root of 224400813 is about 607.6798119695.

It can be divided in two parts, 2244008 and 13, that added together give a triangular number (2244021 = T₂₁₁₈).

The spelling of 224400813 in words is "two hundred twenty-four million, four hundred thousand, eight hundred thirteen".