223295904 has 288 divisors, whose sum is σ = 746665920. Its totient is φ = 62705664.

The previous prime is 223295903. The next prime is 223295939. The reversal of 223295904 is 409592322.

223295904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×223295904² = 99722121486354432, which contains 22 as substring.

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 (223295903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3058812 + ... + 3058884.

It is an arithmetic number, because the mean of its divisors is an integer number (2592590).

Almost surely, 2^223295904 is an apocalyptic number.

223295904 is a gapful number since it is divisible by the number (24) 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 223295904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373332960).

223295904 is an abundant number, since it is smaller than the sum of its proper divisors (523370016).

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

223295904 is a wasteful number, since it uses less digits than its factorization.

223295904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 223295904 is about 14943.0888373187. The cubic root of 223295904 is about 606.6808020429.

The spelling of 223295904 in words is "two hundred twenty-three million, two hundred ninety-five thousand, nine hundred four".