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228333 = 3783131
BaseRepresentation
bin110111101111101101
3102121012210
4313233231
524301313
64521033
71640460
oct675755
9377183
10228333
11146606
12b0179
137cc11
145d2d7
15479c3
hex37bed

228333 has 16 divisors (see below), whose sum is σ = 354816. Its totient is φ = 127920.

The previous prime is 228331. The next prime is 228337. The reversal of 228333 is 333822.

It is not a de Polignac number, because 228333 - 21 = 228331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

228333 is a modest number, since divided by 333 gives 228 as remainder.

228333 is a lucky number.

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 228333.

It is not an unprimeable number, because it can be changed into a prime (228331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1678 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2228333 is an apocalyptic number.

It is an amenable number.

228333 is a deficient number, since it is larger than the sum of its proper divisors (126483).

228333 is a wasteful number, since it uses less digits than its factorization.

228333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its digits is 864, while the sum is 21.

The square root of 228333 is about 477.8420241042. The cubic root of 228333 is about 61.1208747179.

It can be divided in two parts, 228 and 333, that added together give a triangular number (561 = T33).

The spelling of 228333 in words is "two hundred twenty-eight thousand, three hundred thirty-three".

Divisors: 1 3 7 21 83 131 249 393 581 917 1743 2751 10873 32619 76111 228333