223986312 has 96 divisors (see below), whose sum is σ = 677270880. Its totient is φ = 66286080.

The previous prime is 223986299. The next prime is 223986337. The reversal of 223986312 is 213689322.

It is a super-4 number, since 4×223986312⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30768 + ... + 37344.

It is an arithmetic number, because the mean of its divisors is an integer number (7054905).

Almost surely, 2^223986312 is an apocalyptic number.

223986312 is a gapful number since it is divisible by the number (22) 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 223986312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338635440).

223986312 is an abundant number, since it is smaller than the sum of its proper divisors (453284568).

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

223986312 is a wasteful number, since it uses less digits than its factorization.

223986312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6636 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 223986312 is about 14966.1722561248. The cubic root of 223986312 is about 607.3054236381.

The spelling of 223986312 in words is "two hundred twenty-three million, nine hundred eighty-six thousand, three hundred twelve".