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2282868 = 223279059
BaseRepresentation
bin1000101101010101110100
311021222111200
420231111310
51041022433
6120532500
725255410
oct10552564
94258450
102282868
11131a175
12921130
1361c113
14435d40
15301613
hex22d574

2282868 has 36 divisors (see below), whose sum is σ = 6595680. Its totient is φ = 652176.

The previous prime is 2282867. The next prime is 2282897. The reversal of 2282868 is 8682822.

2282868 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22828682 = 10422972610848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282867) 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 11 ways as a sum of consecutive naturals, for example, 4278 + ... + 4781.

22282868 is an apocalyptic number.

2282868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2282868 is an abundant number, since it is smaller than the sum of its proper divisors (4312812).

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

2282868 is a wasteful number, since it uses less digits than its factorization.

2282868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9076 (or 9071 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2282868 is about 1510.9162782894. The cubic root of 2282868 is about 131.6720509112.

The spelling of 2282868 in words is "two million, two hundred eighty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 9059 18118 27177 36236 54354 63413 81531 108708 126826 163062 190239 253652 326124 380478 570717 760956 1141434 2282868