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2812264 = 237133863
BaseRepresentation
bin1010101110100101101000
312021212200221
422232211220
51204443024
6140135424
732622010
oct12564550
95255627
102812264
111650994
12b37574
13776080
14532c40
153a83e4
hex2ae968

2812264 has 32 divisors (see below), whose sum is σ = 6491520. Its totient is φ = 1112256.

The previous prime is 2812261. The next prime is 2812267. The reversal of 2812264 is 4622182.

It is a happy number.

2812264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2812261) and next prime (2812267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204 + ... + 2659.

It is an arithmetic number, because the mean of its divisors is an integer number (202860).

22812264 is an apocalyptic number.

It is an amenable number.

2812264 is an abundant number, since it is smaller than the sum of its proper divisors (3679256).

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

2812264 is a wasteful number, since it uses less digits than its factorization.

2812264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3885 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 2812264 is about 1676.9806200431. The cubic root of 2812264 is about 141.1514560528.

The spelling of 2812264 in words is "two million, eight hundred twelve thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 3863 7726 15452 27041 30904 50219 54082 100438 108164 200876 216328 351533 401752 703066 1406132 2812264