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2122568 = 237291307
BaseRepresentation
bin1000000110001101001000
310222211121122
420012031020
51020410233
6113254412
724020150
oct10061510
93884548
102122568
11121a798
12864408
13594176
143d3760
152bdd98
hex206348

2122568 has 32 divisors (see below), whose sum is σ = 4708800. Its totient is φ = 877632.

The previous prime is 2122553. The next prime is 2122573. The reversal of 2122568 is 8652212.

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 7 ways as a sum of consecutive naturals, for example, 971 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (147150).

22122568 is an apocalyptic number.

2122568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354400).

2122568 is an abundant number, since it is smaller than the sum of its proper divisors (2586232).

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

2122568 is a wasteful number, since it uses less digits than its factorization.

2122568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1345 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 2122568 is about 1456.9035657860. The cubic root of 2122568 is about 128.5150148746.

The spelling of 2122568 in words is "two million, one hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1307 1624 2614 5228 9149 10456 18298 36596 37903 73192 75806 151612 265321 303224 530642 1061284 2122568