224050120 has 64 divisors (see below), whose sum is σ = 579168000. Its totient is φ = 76412160.

The previous prime is 224050097. The next prime is 224050129. The reversal of 224050120 is 21050422.

It is a junction number, because it is equal to n+sod(n) for n = 224050094 and 224050103.

It is not an unprimeable number, because it can be changed into a prime (224050129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53710 + ... + 57730.

It is an arithmetic number, because the mean of its divisors is an integer number (9049500).

Almost surely, 2^224050120 is an apocalyptic number.

224050120 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 224050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289584000).

224050120 is an abundant number, since it is smaller than the sum of its proper divisors (355117880).

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

224050120 is a wasteful number, since it uses less digits than its factorization.

224050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 224050120 is about 14968.3038451255. The cubic root of 224050120 is about 607.3630867827.

The spelling of 224050120 in words is "two hundred twenty-four million, fifty thousand, one hundred twenty".