224580096 has 240 divisors, whose sum is σ = 732828096. Its totient is φ = 65691648.

The previous prime is 224580091. The next prime is 224580143. The reversal of 224580096 is 690085422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224580096.

It is not an unprimeable number, because it can be changed into a prime (224580091) 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, 1377711 + ... + 1377873.

Almost surely, 2^224580096 is an apocalyptic number.

224580096 is a gapful number since it is divisible by the number (26) 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 224580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366414048).

224580096 is an abundant number, since it is smaller than the sum of its proper divisors (508248000).

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

224580096 is a wasteful number, since it uses less digits than its factorization.

224580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 224580096 is about 14985.9966635523. The cubic root of 224580096 is about 607.8416023201.

The spelling of 224580096 in words is "two hundred twenty-four million, five hundred eighty thousand, ninety-six".