224821100 has 72 divisors (see below), whose sum is σ = 559651680. Its totient is φ = 76792320.

The previous prime is 224821099. The next prime is 224821127. The reversal of 224821100 is 1128422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277496 + ... + 278304.

It is an arithmetic number, because the mean of its divisors is an integer number (7772940).

Almost surely, 2^224821100 is an apocalyptic number.

224821100 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 224821100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279825840).

224821100 is an abundant number, since it is smaller than the sum of its proper divisors (334830580).

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

224821100 is a wasteful number, since it uses less digits than its factorization.

224821100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 224821100 is about 14994.0354808170. The cubic root of 224821100 is about 608.0589559347.

Adding to 224821100 its reverse (1128422), we get a palindrome (225949522).

The spelling of 224821100 in words is "two hundred twenty-four million, eight hundred twenty-one thousand, one hundred".