223954164 has 72 divisors (see below), whose sum is σ = 656143488. Its totient is φ = 63080640.

The previous prime is 223954163. The next prime is 223954183. The reversal of 223954164 is 461459322.

It is a happy number.

223954164 is a `hidden beast` number, since 2 + 239 + 5 + 416 + 4 = 666.

223954164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223954163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11634 + ... + 24150.

It is an arithmetic number, because the mean of its divisors is an integer number (9113104).

Almost surely, 2^223954164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223954164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328071744).

223954164 is an abundant number, since it is smaller than the sum of its proper divisors (432189324).

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

223954164 is a wasteful number, since it uses less digits than its factorization.

223954164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12605 (or 12600 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 223954164 is about 14965.0981954680. The cubic root of 223954164 is about 607.2763674148.

The spelling of 223954164 in words is "two hundred twenty-three million, nine hundred fifty-four thousand, one hundred sixty-four".