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2122256 = 24237379
BaseRepresentation
bin1000000110001000010000
310222211012002
420012020100
51020403011
6113253132
724016223
oct10061020
93884162
102122256
11121a534
128641a8
13593c96
143d35ba
152bdc3b
hex206210

2122256 has 40 divisors (see below), whose sum is σ = 4404480. Its totient is φ = 988416.

The previous prime is 2122231. The next prime is 2122259. The reversal of 2122256 is 6522212.

It is an Ulam number.

It is a d-powerful number, because it can be written as 28 + 1 + 210 + 213 + 221 + 56 + 6 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122259) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26825 + ... + 26903.

It is an arithmetic number, because the mean of its divisors is an integer number (110112).

22122256 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 2122256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202240).

2122256 is an abundant number, since it is smaller than the sum of its proper divisors (2282224).

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

2122256 is a wasteful number, since it uses less digits than its factorization.

2122256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 2122256 is about 1456.7964854433. The cubic root of 2122256 is about 128.5087176834.

Adding to 2122256 its reverse (6522212), we get a palindrome (8644468).

The spelling of 2122256 in words is "two million, one hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 73 79 92 146 158 184 292 316 368 584 632 1168 1264 1679 1817 3358 3634 5767 6716 7268 11534 13432 14536 23068 26864 29072 46136 92272 132641 265282 530564 1061128 2122256