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2164256 = 25471439
BaseRepresentation
bin1000010000011000100000
311001221210122
420100120200
51023224011
6114215412
724252533
oct10203040
94057718
102164256
111249046
12884568
135aa133
14404a1a
152cb3db
hex210620

2164256 has 24 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 1058368.

The previous prime is 2164247. The next prime is 2164273. The reversal of 2164256 is 6524612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 785 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

22164256 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 2164256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

2164256 is an abundant number, since it is smaller than the sum of its proper divisors (2190304).

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

2164256 is a wasteful number, since it uses less digits than its factorization.

2164256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1488 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 2164256 is about 1471.1410537403. The cubic root of 2164256 is about 129.3509263865.

Adding to 2164256 its reverse (6524612), we get a palindrome (8688868).

The spelling of 2164256 in words is "two million, one hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1439 1504 2878 5756 11512 23024 46048 67633 135266 270532 541064 1082128 2164256