224513800 has 48 divisors (see below), whose sum is σ = 596568960. Its totient is φ = 76975680.

The previous prime is 224513797. The next prime is 224513801. The reversal of 224513800 is 8315422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (224513801) 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 11 ways as a sum of consecutive naturals, for example, 78784 + ... + 81583.

It is an arithmetic number, because the mean of its divisors is an integer number (12428520).

Almost surely, 2^224513800 is an apocalyptic number.

224513800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224513800 is an abundant number, since it is smaller than the sum of its proper divisors (372055160).

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

224513800 is a wasteful number, since it uses less digits than its factorization.

224513800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160390 (or 160381 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 224513800 is about 14983.7845686595. The cubic root of 224513800 is about 607.7817848600.

The spelling of 224513800 in words is "two hundred twenty-four million, five hundred thirteen thousand, eight hundred".