224765222220 has 1152 divisors, whose sum is σ = 941322332160. Its totient is φ = 43429478400.

The previous prime is 224765222207. The next prime is 224765222233. The reversal of 224765222220 is 22222567422.

224765222220 is a `hidden beast` number, since 2 + 24 + 76 + 522 + 22 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (224765222207) and next prime (224765222233).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1065237915 + ... + 1065238125.

It is an arithmetic number, because the mean of its divisors is an integer number (817120080).

Almost surely, 2^224765222220 is an apocalyptic number.

224765222220 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 224765222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470661166080).

224765222220 is an abundant number, since it is smaller than the sum of its proper divisors (716557109940).

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

224765222220 is a wasteful number, since it uses less digits than its factorization.

224765222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 224765222220 its reverse (22222567422), we get a palindrome (246987789642).

It can be divided in two parts, 224765 and 222220, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 224765222220 in words is "two hundred twenty-four billion, seven hundred sixty-five million, two hundred twenty-two thousand, two hundred twenty".