224491800 has 192 divisors, whose sum is σ = 794011680. Its totient is φ = 51978240.

The previous prime is 224491763. The next prime is 224491819. The reversal of 224491800 is 8194422.

224491800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 131754 + ... + 133446.

Almost surely, 2^224491800 is an apocalyptic number.

224491800 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 224491800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397005840).

224491800 is an abundant number, since it is smaller than the sum of its proper divisors (569519880).

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

224491800 is a wasteful number, since it uses less digits than its factorization.

224491800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 224491800 is about 14983.0504237288. The cubic root of 224491800 is about 607.7619321293.

The spelling of 224491800 in words is "two hundred twenty-four million, four hundred ninety-one thousand, eight hundred".