228342321 has 45 divisors (see below), whose sum is σ = 361530939. Its totient is φ = 143614944.

The previous prime is 228342307. The next prime is 228342343. The reversal of 228342321 is 123243822.

The square root of 228342321 is 15111.

It is a perfect power (a square), and thus also a powerful number.

228342321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 129618225 + 98724096 = 11385^2 + 9936^2 .

It is not a de Polignac number, because 228342321 - 2¹³ = 228334129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (228343321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3127941 + ... + 3128013.

Almost surely, 2^228342321 is an apocalyptic number.

228342321 is the 15111-st square number.

228342321 is the 7556-th centered octagonal number.

It is an amenable number.

228342321 is a deficient number, since it is larger than the sum of its proper divisors (133188618).

228342321 is an frugal number, since it uses more digits than its factorization.

228342321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The cubic root of 228342321 is about 611.2170639787.

The spelling of 228342321 in words is "two hundred twenty-eight million, three hundred forty-two thousand, three hundred twenty-one".