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228432 = 2434759
BaseRepresentation
bin110111110001010000
3102121100110
4313301100
524302212
64521320
71640661
oct676120
9377313
10228432
11146696
12b0240
137cc89
145d368
1547a3c
hex37c50

228432 has 20 divisors (see below), whose sum is σ = 590240. Its totient is φ = 76128.

The previous prime is 228427. The next prime is 228443. The reversal of 228432 is 234822.

228432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 228399 and 228408.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228432.

It is an unprimeable number.

228432 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 3 ways as a sum of consecutive naturals, for example, 2332 + ... + 2427.

It is an arithmetic number, because the mean of its divisors is an integer number (29512).

2228432 is an apocalyptic number.

It is an amenable number.

228432 is an abundant number, since it is smaller than the sum of its proper divisors (361808).

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

228432 is a wasteful number, since it uses less digits than its factorization.

228432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4764 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 228432 is about 477.9456035994. The cubic root of 228432 is about 61.1297069823.

The spelling of 228432 in words is "two hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 4759 9518 14277 19036 28554 38072 57108 76144 114216 228432