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2292312 = 2331119457
BaseRepresentation
bin1000101111101001011000
311022110110110
420233221120
51041323222
6121044320
725325061
oct10575130
94273413
102292312
111326280
129266a0
136234c9
14439568
1530430c
hex22fa58

2292312 has 64 divisors (see below), whose sum is σ = 6595200. Its totient is φ = 656640.

The previous prime is 2292307. The next prime is 2292317. The reversal of 2292312 is 2132922.

2292312 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 (2292307) and next prime (2292317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292317) 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 15 ways as a sum of consecutive naturals, for example, 4788 + ... + 5244.

It is an arithmetic number, because the mean of its divisors is an integer number (103050).

22292312 is an apocalyptic number.

2292312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297600).

2292312 is an abundant number, since it is smaller than the sum of its proper divisors (4302888).

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

2292312 is a wasteful number, since it uses less digits than its factorization.

2292312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2292312 is about 1514.0383086303. The cubic root of 2292312 is about 131.8533725380.

The spelling of 2292312 in words is "two million, two hundred ninety-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 457 627 836 914 1254 1371 1672 1828 2508 2742 3656 5016 5027 5484 8683 10054 10968 15081 17366 20108 26049 30162 34732 40216 52098 60324 69464 95513 104196 120648 191026 208392 286539 382052 573078 764104 1146156 2292312