224002200 has 96 divisors (see below), whose sum is σ = 735287760. Its totient is φ = 56217600.

The previous prime is 224002193. The next prime is 224002301. The reversal of 224002200 is 2200422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 781 + ... + 21180.

Almost surely, 2^224002200 is an apocalyptic number.

224002200 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 224002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367643880).

224002200 is an abundant number, since it is smaller than the sum of its proper divisors (511285560).

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

224002200 is a wasteful number, since it uses less digits than its factorization.

224002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21997 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 224002200 is about 14966.7030437568. The cubic root of 224002200 is about 607.3197826114.

Adding to 224002200 its reverse (2200422), we get a palindrome (226202622).

The spelling of 224002200 in words is "two hundred twenty-four million, two thousand, two hundred".