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2122688 = 26171951
BaseRepresentation
bin1000000110001111000000
310222211210002
420012033000
51020411223
6113255132
724020411
oct10061700
93884702
102122688
11121a897
128644a8
13594239
143d3808
152bde28
hex2063c0

2122688 has 28 divisors (see below), whose sum is σ = 4462272. Its totient is φ = 998400.

The previous prime is 2122667. The next prime is 2122691. The reversal of 2122688 is 8862212.

It is a self number, because there is not a number n which added to its sum of digits gives 2122688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 2063.

22122688 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 2122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231136).

2122688 is an abundant number, since it is smaller than the sum of its proper divisors (2339584).

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

2122688 is a wasteful number, since it uses less digits than its factorization.

2122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1970 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 2122688 is about 1456.9447484376. The cubic root of 2122688 is about 128.5174367068.

The spelling of 2122688 in words is "two million, one hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1951 3902 7804 15608 31216 33167 62432 66334 124864 132668 265336 530672 1061344 2122688