224142820 has 72 divisors (see below), whose sum is σ = 540009792. Its totient is φ = 77943360.

The previous prime is 224142817. The next prime is 224142833. The reversal of 224142820 is 28241422.

224142820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53647 + ... + 57673.

It is an arithmetic number, because the mean of its divisors is an integer number (7500136).

Almost surely, 2^224142820 is an apocalyptic number.

224142820 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 224142820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270004896).

224142820 is an abundant number, since it is smaller than the sum of its proper divisors (315866972).

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

224142820 is a wasteful number, since it uses less digits than its factorization.

224142820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 224142820 is about 14971.4000681299. The cubic root of 224142820 is about 607.4468400592.

The spelling of 224142820 in words is "two hundred twenty-four million, one hundred forty-two thousand, eight hundred twenty".