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12285933 = 3112316187
BaseRepresentation
bin101110110111…
…011111101101
3212010012010120
4232313133231
511121122213
61115155153
7206300022
oct56673755
925105116
1012285933
116a31670
124145ab9
1327121aa
1418bb549
15112a423
hexbb77ed

12285933 has 16 divisors (see below), whose sum is σ = 18648576. Its totient is φ = 7121840.

The previous prime is 12285929. The next prime is 12285947. The reversal of 12285933 is 33958221.

It is not a de Polignac number, because 12285933 - 22 = 12285929 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12285894 and 12285903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12285953) 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, 7335 + ... + 8852.

It is an arithmetic number, because the mean of its divisors is an integer number (1165536).

Almost surely, 212285933 is an apocalyptic number.

It is an amenable number.

12285933 is a deficient number, since it is larger than the sum of its proper divisors (6362643).

12285933 is a wasteful number, since it uses less digits than its factorization.

12285933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16224.

The product of its digits is 12960, while the sum is 33.

The square root of 12285933 is about 3505.1295268506. The cubic root of 12285933 is about 230.7469915919.

The spelling of 12285933 in words is "twelve million, two hundred eighty-five thousand, nine hundred thirty-three".

Divisors: 1 3 11 23 33 69 253 759 16187 48561 178057 372301 534171 1116903 4095311 12285933