223864704 has 384 divisors, whose sum is σ = 824878080. Its totient is φ = 56770560.

The previous prime is 223864691. The next prime is 223864709. The reversal of 223864704 is 407468322.

223864704 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (223864709) 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, 3152989 + ... + 3153059.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^223864704 is an apocalyptic number.

223864704 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 223864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412439040).

223864704 is an abundant number, since it is smaller than the sum of its proper divisors (601013376).

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

223864704 is a wasteful number, since it uses less digits than its factorization.

223864704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 223864704 is about 14962.1089422581. The cubic root of 223864704 is about 607.1954964332.

The spelling of 223864704 in words is "two hundred twenty-three million, eight hundred sixty-four thousand, seven hundred four".