224654120200 has 96 divisors (see below), whose sum is σ = 540529633800. Its totient is φ = 86731223040.

The previous prime is 224654120161. The next prime is 224654120213. The reversal of 224654120200 is 2021456422.

It can be written as a sum of positive squares in 12 ways, for example, as 5557106116 + 219097014084 = 74546^2 + 468078^2 .

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, 21437362 + ... + 21447838.

Almost surely, 2^224654120200 is an apocalyptic number.

224654120200 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 224654120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270264816900).

224654120200 is an abundant number, since it is smaller than the sum of its proper divisors (315875513600).

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

224654120200 is a wasteful number, since it uses less digits than its factorization.

224654120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14219 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 224654120200 its reverse (2021456422), we get a palindrome (226675576622).

The spelling of 224654120200 in words is "two hundred twenty-four billion, six hundred fifty-four million, one hundred twenty thousand, two hundred".