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213228 = 22325923
BaseRepresentation
bin110100000011101100
3101211111100
4310003230
523310403
64323100
71545441
oct640354
9354440
10213228
11136224
12a3490
1376092
14579c8
15432a3
hex340ec

213228 has 18 divisors (see below), whose sum is σ = 539084. Its totient is φ = 71064.

The previous prime is 213223. The next prime is 213229. The reversal of 213228 is 822312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 213228.

It is not an unprimeable number, because it can be changed into a prime (213223) by changing a digit.

213228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2926 + ... + 2997.

2213228 is an apocalyptic number.

It is an amenable number.

213228 is an abundant number, since it is smaller than the sum of its proper divisors (325856).

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

213228 is a wasteful number, since it uses less digits than its factorization.

213228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5928 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 213228 is about 461.7661745949. The cubic root of 213228 is about 59.7422274747.

It can be divided in two parts, 213 and 228, that added together give a square (441 = 212).

The spelling of 213228 in words is "two hundred thirteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 5923 11846 17769 23692 35538 53307 71076 106614 213228