223845120 has 360 divisors, whose sum is σ = 854751744. Its totient is φ = 55738368.

The previous prime is 223845109. The next prime is 223845151. The reversal of 223845120 is 21548322.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 1762497 + ... + 1762623.

Almost surely, 2^223845120 is an apocalyptic number.

223845120 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 223845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427375872).

223845120 is an abundant number, since it is smaller than the sum of its proper divisors (630906624).

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

223845120 is a wasteful number, since it uses less digits than its factorization.

223845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 223845120 is about 14961.4544747494. The cubic root of 223845120 is about 607.1777898108.

The spelling of 223845120 in words is "two hundred twenty-three million, eight hundred forty-five thousand, one hundred twenty".