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2125568 = 2819223
BaseRepresentation
bin1000000110111100000000
310222222201202
420012330000
51021004233
6113320332
724031664
oct10067400
93888652
102125568
111221a75
128660a8
13595643
143d48a4
152bebe8
hex206f00

2125568 has 54 divisors (see below), whose sum is σ = 4672584. Its totient is φ = 963072.

The previous prime is 2125567. The next prime is 2125579. The reversal of 2125568 is 8655212.

It is a self number, because there is not a number n which added to its sum of digits gives 2125568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125567) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 92405 + ... + 92427.

22125568 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 2125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336292).

2125568 is an abundant number, since it is smaller than the sum of its proper divisors (2547016).

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

2125568 is an equidigital number, since it uses as much as digits as its factorization.

2125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 2125568 is about 1457.9327830871. The cubic root of 2125568 is about 128.5755333199.

It can be divided in two parts, 212 and 5568, that multiplied together give a triangular number (1180416 = T1536).

The spelling of 2125568 in words is "two million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 361 368 437 608 722 736 874 1216 1444 1472 1748 2432 2888 2944 3496 4864 5776 5888 6992 8303 11552 13984 16606 23104 27968 33212 46208 55936 66424 92416 111872 132848 265696 531392 1062784 2125568