224896951920 has 160 divisors (see below), whose sum is σ = 735515424000. Its totient is φ = 56689016832.

The previous prime is 224896951831. The next prime is 224896951927. The reversal of 224896951920 is 29159698422.

It is a happy number.

224896951920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224896951927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1992519 + ... + 2102361.

It is an arithmetic number, because the mean of its divisors is an integer number (4596971400).

Almost surely, 2^224896951920 is an apocalyptic number.

224896951920 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 224896951920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367757712000).

224896951920 is an abundant number, since it is smaller than the sum of its proper divisors (510618472080).

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

224896951920 is a wasteful number, since it uses less digits than its factorization.

224896951920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110327 (or 110321 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 224896951920 in words is "two hundred twenty-four billion, eight hundred ninety-six million, nine hundred fifty-one thousand, nine hundred twenty".