223261920 has 480 divisors, whose sum is σ = 948423168. Its totient is φ = 48356352.

The previous prime is 223261903. The next prime is 223261937. The reversal of 223261920 is 29162322.

223261920 is a `hidden beast` number, since 2 + 23 + 2 + 619 + 20 = 666.

223261920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223261903) and next prime (223261937).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×223261920³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086507 + ... + 2086613.

Almost surely, 2^223261920 is an apocalyptic number.

223261920 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 223261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474211584).

223261920 is an abundant number, since it is smaller than the sum of its proper divisors (725161248).

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

223261920 is a wasteful number, since it uses less digits than its factorization.

223261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 223261920 is about 14941.9516797505. The cubic root of 223261920 is about 606.6500230242.

The spelling of 223261920 in words is "two hundred twenty-three million, two hundred sixty-one thousand, nine hundred twenty".