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223128 = 23331033
BaseRepresentation
bin110110011110011000
3102100002000
4312132120
524120003
64441000
71616343
oct663630
9370060
10223128
11142704
12a9160
137a739
145b45a
15461a3
hex36798

223128 has 32 divisors (see below), whose sum is σ = 620400. Its totient is φ = 74304.

The previous prime is 223103. The next prime is 223129. The reversal of 223128 is 821322.

It is a happy number.

It is a super-3 number, since 3×2231283 = 33326021696979456, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 223128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301 + ... + 732.

2223128 is an apocalyptic number.

It is an amenable number.

223128 is an abundant number, since it is smaller than the sum of its proper divisors (397272).

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

223128 is a wasteful number, since it uses less digits than its factorization.

223128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1038 counting only the distinct ones).

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

The square root of 223128 is about 472.3642662183. The cubic root of 223128 is about 60.6528702409.

It can be divided in two parts, 223 and 128, that added together give a triangular number (351 = T26).

The spelling of 223128 in words is "two hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1033 2066 3099 4132 6198 8264 9297 12396 18594 24792 27891 37188 55782 74376 111564 223128