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2268123 = 3111317311
BaseRepresentation
bin1000101001101111011011
311021020021120
420221233123
51040034443
6120340323
725164414
oct10515733
94236246
102268123
11130a090
129146a3
136154b0
1443080b
152ec083
hex229bdb

2268123 has 32 divisors (see below), whose sum is σ = 3773952. Its totient is φ = 1190400.

The previous prime is 2268103. The next prime is 2268131. The reversal of 2268123 is 3218622.

It is not a de Polignac number, because 2268123 - 29 = 2267611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2268093 and 2268102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7138 + ... + 7448.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

22268123 is an apocalyptic number.

2268123 is a deficient number, since it is larger than the sum of its proper divisors (1505829).

2268123 is a wasteful number, since it uses less digits than its factorization.

2268123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355.

The product of its digits is 1152, while the sum is 24.

The square root of 2268123 is about 1506.0288841852. The cubic root of 2268123 is about 131.3879492897.

The spelling of 2268123 in words is "two million, two hundred sixty-eight thousand, one hundred twenty-three".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 311 429 561 663 933 2431 3421 4043 5287 7293 10263 12129 15861 44473 58157 68731 133419 174471 206193 756041 2268123