223187664 has 160 divisors (see below), whose sum is σ = 683956224. Its totient is φ = 61401600.

The previous prime is 223187647. The next prime is 223187687. The reversal of 223187664 is 466781322.

It is a happy number.

It is a super-3 number, since 3×223187664³ (a number of 26 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1477989 + ... + 1478139.

Almost surely, 2^223187664 is an apocalyptic number.

223187664 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 223187664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341978112).

223187664 is an abundant number, since it is smaller than the sum of its proper divisors (460768560).

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

223187664 is a wasteful number, since it uses less digits than its factorization.

223187664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 223187664 is about 14939.4666571468. The cubic root of 223187664 is about 606.5827591289.

The spelling of 223187664 in words is "two hundred twenty-three million, one hundred eighty-seven thousand, six hundred sixty-four".