223915120 has 240 divisors, whose sum is σ = 656645472. Its totient is φ = 69949440.

The previous prime is 223915117. The next prime is 223915183. The reversal of 223915120 is 21519322.

It is a happy number.

It is a super-2 number, since 2×223915120² = 100275961929228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6051742 + ... + 6051778.

Almost surely, 2^223915120 is an apocalyptic number.

223915120 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 223915120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328322736).

223915120 is an abundant number, since it is smaller than the sum of its proper divisors (432730352).

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

223915120 is a wasteful number, since it uses less digits than its factorization.

223915120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 223915120 is about 14963.7936366417. The cubic root of 223915120 is about 607.2410746625.

The spelling of 223915120 in words is "two hundred twenty-three million, nine hundred fifteen thousand, one hundred twenty".