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228888 = 233211172
BaseRepresentation
bin110111111000011000
3102121222100
4313320120
524311023
64523400
71642212
oct677030
9377870
10228888
11146a70
12b0560
138024a
145d5b2
1547c43
hex37e18

228888 has 72 divisors (see below), whose sum is σ = 718380. Its totient is φ = 65280.

The previous prime is 228887. The next prime is 228901. The reversal of 228888 is 888822.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

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 228888.

It is not an unprimeable number, because it can be changed into a prime (228881) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13456 + ... + 13472.

2228888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359190).

228888 is an abundant number, since it is smaller than the sum of its proper divisors (489492).

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

228888 is a wasteful number, since it uses less digits than its factorization.

228888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 228888 is about 478.4224075020. The cubic root of 228888 is about 61.1703560138.

Multiplying 228888 by its reverse (888822), we get a square (203440689936 = 4510442).

The spelling of 228888 in words is "two hundred twenty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 289 306 374 396 408 561 578 612 748 792 867 1122 1156 1224 1496 1683 1734 2244 2312 2601 3179 3366 3468 4488 5202 6358 6732 6936 9537 10404 12716 13464 19074 20808 25432 28611 38148 57222 76296 114444 228888