228513 has 12 divisors (see below), whose sum is σ = 323088. Its totient is φ = 143640.

The previous prime is 228511. The next prime is 228517. The reversal of 228513 is 315822.

It is not a de Polignac number, because 228513 - 2¹ = 228511 is a prime.

228513 is a Rhonda number in base 8.

228513 is a modest number, since divided by 513 gives 228 as remainder.

228513 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 228513.

It is not an unprimeable number, because it can be changed into a prime (228511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 978 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (26924).

2²²⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

228513 is a deficient number, since it is larger than the sum of its proper divisors (94575).

228513 is a wasteful number, since it uses less digits than its factorization.

228513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 228513 is about 478.0303337655. The cubic root of 228513 is about 61.1369314826.

It can be divided in two parts, 228 and 513, that multiplied together give a square (116964 = 342²).

The spelling of 228513 in words is "two hundred twenty-eight thousand, five hundred thirteen".