224916227280 has 160 divisors (see below), whose sum is σ = 774966232320. Its totient is φ = 59957936640.

The previous prime is 224916227279. The next prime is 224916227297. The reversal of 224916227280 is 82722619422.

224916227280 is a `hidden beast` number, since 2 + 2 + 491 + 62 + 27 + 2 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7270245 + ... + 7301115.

It is an arithmetic number, because the mean of its divisors is an integer number (4843538952).

Almost surely, 2^224916227280 is an apocalyptic number.

224916227280 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 224916227280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387483116160).

224916227280 is an abundant number, since it is smaller than the sum of its proper divisors (550050005040).

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

224916227280 is a wasteful number, since it uses less digits than its factorization.

224916227280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34266 (or 34254 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 224916227280 in words is "two hundred twenty-four billion, nine hundred sixteen million, two hundred twenty-seven thousand, two hundred eighty".