224789800 has 72 divisors (see below), whose sum is σ = 537797610. Its totient is φ = 87379200.

The previous prime is 224789797. The next prime is 224789857. The reversal of 224789800 is 8987422.

It can be written as a sum of positive squares in 9 ways, for example, as 69189124 + 155600676 = 8318^2 + 12474^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 273390 + ... + 274210.

Almost surely, 2^224789800 is an apocalyptic number.

224789800 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 224789800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268898805).

224789800 is an abundant number, since it is smaller than the sum of its proper divisors (313007810).

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

224789800 is a wasteful number, since it uses less digits than its factorization.

224789800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 224789800 is about 14992.9916961226. The cubic root of 224789800 is about 608.0307362693.

The spelling of 224789800 in words is "two hundred twenty-four million, seven hundred eighty-nine thousand, eight hundred".