224896680 has 96 divisors (see below), whose sum is σ = 736819200. Its totient is φ = 59488128.

The previous prime is 224896669. The next prime is 224896687. The reversal of 224896680 is 86698422.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (224896687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43261 + ... + 48179.

It is an arithmetic number, because the mean of its divisors is an integer number (7675200).

Almost surely, 2^224896680 is an apocalyptic number.

224896680 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 224896680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368409600).

224896680 is an abundant number, since it is smaller than the sum of its proper divisors (511922520).

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

224896680 is a wasteful number, since it uses less digits than its factorization.

224896680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 224896680 is about 14996.5556045380. Note that the first 3 decimals coincide. The cubic root of 224896680 is about 608.1270870649.

The spelling of 224896680 in words is "two hundred twenty-four million, eight hundred ninety-six thousand, six hundred eighty".