223771968 has 336 divisors, whose sum is σ = 811499520. Its totient is φ = 57480192.

The previous prime is 223771939. The next prime is 223771997. The reversal of 223771968 is 869177322.

223771968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223771939) and next prime (223771997).

It is a tau number, because it is divible by the number of its divisors (336).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1761921 + ... + 1762047.

Almost surely, 2^223771968 is an apocalyptic number.

223771968 is a gapful number since it is divisible by the number (28) 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 223771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405749760).

223771968 is an abundant number, since it is smaller than the sum of its proper divisors (587727552).

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

223771968 is a wasteful number, since it uses less digits than its factorization.

223771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 223771968 is about 14959.0095928841. The cubic root of 223771968 is about 607.1116412331. Note that the first 3 decimals are identical.

The spelling of 223771968 in words is "two hundred twenty-three million, seven hundred seventy-one thousand, nine hundred sixty-eight".