223278272 has 112 divisors (see below), whose sum is σ = 564733440. Its totient is φ = 85266432.

The previous prime is 223278269. The next prime is 223278277. The reversal of 223278272 is 272872322.

223278272 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×223278272³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223278277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143933 + ... + 145475.

Almost surely, 2^223278272 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 223278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282366720).

223278272 is an abundant number, since it is smaller than the sum of its proper divisors (341455168).

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

223278272 is a wasteful number, since it uses less digits than its factorization.

223278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1588 counting only the distinct ones).

The product of its digits is 37632, while the sum is 35.

The square root of 223278272 is about 14942.4988539401. The cubic root of 223278272 is about 606.6648332808.

The spelling of 223278272 in words is "two hundred twenty-three million, two hundred seventy-eight thousand, two hundred seventy-two".