223264944 has 320 divisors, whose sum is σ = 801377280. Its totient is φ = 58060800.

The previous prime is 223264907. The next prime is 223264949. The reversal of 223264944 is 449462322.

223264944 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 649 + 4 + 4 = 666.

It is a super-3 number, since 3×223264944³ (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 a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 223264899 and 223264908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223264949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2210494 + ... + 2210594.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 2^223264944 is an apocalyptic number.

223264944 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 223264944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400688640).

223264944 is an abundant number, since it is smaller than the sum of its proper divisors (578112336).

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

223264944 is a wasteful number, since it uses less digits than its factorization.

223264944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 223264944 is about 14942.0528710081. The cubic root of 223264944 is about 606.6527619618.

It can be divided in two parts, 2232 and 64944, that added together give a palindrome (67176).

The spelling of 223264944 in words is "two hundred twenty-three million, two hundred sixty-four thousand, nine hundred forty-four".