223109964 has 216 divisors, whose sum is σ = 737411584. Its totient is φ = 57736800.

The previous prime is 223109947. The next prime is 223109981. The reversal of 223109964 is 469901322.

It is an interprime number because it is at equal distance from previous prime (223109947) and next prime (223109981).

It is a super-3 number, since 3×223109964³ (a number of 26 digits) contains 333 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 823149 + ... + 823419.

Almost surely, 2^223109964 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 223109964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368705792).

223109964 is an abundant number, since it is smaller than the sum of its proper divisors (514301620).

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

223109964 is a wasteful number, since it uses less digits than its factorization.

223109964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 223109964 is about 14936.8659363335. The cubic root of 223109964 is about 606.5123595527.

The spelling of 223109964 in words is "two hundred twenty-three million, one hundred nine thousand, nine hundred sixty-four".