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2168292 = 223783311
BaseRepresentation
bin1000010001010111100100
311002011100010
420101113210
51023341132
6114250220
724300360
oct10212744
94064303
102168292
111251085
12886970
135abc19
144062a0
152cc6cc
hex2115e4

2168292 has 48 divisors (see below), whose sum is σ = 5870592. Its totient is φ = 610080.

The previous prime is 2168291. The next prime is 2168293. The reversal of 2168292 is 2928612.

It is an interprime number because it is at equal distance from previous prime (2168291) and next prime (2168293).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2168291) 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, 6817 + ... + 7127.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

22168292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296).

2168292 is an abundant number, since it is smaller than the sum of its proper divisors (3702300).

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

2168292 is a wasteful number, since it uses less digits than its factorization.

2168292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2168292 is about 1472.5121391690. The cubic root of 2168292 is about 129.4312828931.

The spelling of 2168292 in words is "two million, one hundred sixty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 311 332 498 581 622 933 996 1162 1244 1743 1866 2177 2324 3486 3732 4354 6531 6972 8708 13062 25813 26124 51626 77439 103252 154878 180691 309756 361382 542073 722764 1084146 2168292