223661664 has 72 divisors (see below), whose sum is σ = 638623440. Its totient is φ = 74251008.

The previous prime is 223661657. The next prime is 223661681. The reversal of 223661664 is 466166322.

223661664 is a `hidden beast` number, since 2 + 2 + 36 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76029 + ... + 78915.

It is an arithmetic number, because the mean of its divisors is an integer number (8869770).

Almost surely, 2^223661664 is an apocalyptic number.

223661664 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 223661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319311720).

223661664 is an abundant number, since it is smaller than the sum of its proper divisors (414961776).

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

223661664 is a wasteful number, since it uses less digits than its factorization.

223661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3161 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 223661664 is about 14955.3222633282. The cubic root of 223661664 is about 607.0118702484.

The spelling of 223661664 in words is "two hundred twenty-three million, six hundred sixty-one thousand, six hundred sixty-four".