223765920 has 288 divisors, whose sum is σ = 886878720. Its totient is φ = 50319360.

The previous prime is 223765909. The next prime is 223765921. The reversal of 223765920 is 29567322.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (223765921) by changing a digit.

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, 796180 + ... + 796460.

It is an arithmetic number, because the mean of its divisors is an integer number (3079440).

Almost surely, 2^223765920 is an apocalyptic number.

223765920 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 223765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443439360).

223765920 is an abundant number, since it is smaller than the sum of its proper divisors (663112800).

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

223765920 is a wasteful number, since it uses less digits than its factorization.

223765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 223765920 is about 14958.8074390975. The cubic root of 223765920 is about 607.1061716110.

The spelling of 223765920 in words is "two hundred twenty-three million, seven hundred sixty-five thousand, nine hundred twenty".