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2112025456 = 242941671657
BaseRepresentation
bin111110111100010…
…1111001101110000
312110012011000021001
41331320233031300
513311134303311
6545324011344
7103223630422
oct17570571560
95405130231
102112025456
11994201a92
124ab390b54
1327873b608
141606da812
15c56404c1
hex7de2f370

2112025456 has 80 divisors (see below), whose sum is σ = 4403780640. Its totient is φ = 979292160.

The previous prime is 2112025397. The next prime is 2112025463. The reversal of 2112025456 is 6545202112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273780 + ... + 1275436.

It is an arithmetic number, because the mean of its divisors is an integer number (55047258).

Almost surely, 22112025456 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 2112025456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201890320).

2112025456 is an abundant number, since it is smaller than the sum of its proper divisors (2291755184).

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

2112025456 is a wasteful number, since it uses less digits than its factorization.

2112025456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2112025456 is about 45956.7781290203. The cubic root of 2112025456 is about 1283.0188867121.

Adding to 2112025456 its reverse (6545202112), we get a palindrome (8657227568).

The spelling of 2112025456 in words is "two billion, one hundred twelve million, twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 41 58 67 82 116 134 164 232 268 328 464 536 656 1072 1189 1657 1943 2378 2747 3314 3886 4756 5494 6628 7772 9512 10988 13256 15544 19024 21976 26512 31088 43952 48053 67937 79663 96106 111019 135874 159326 192212 222038 271748 318652 384424 444076 543496 637304 768848 888152 1086992 1274608 1776304 1970173 3219551 3940346 4551779 6439102 7880692 9103558 12878204 15761384 18207116 25756408 31522768 36414232 51512816 72828464 132001591 264003182 528006364 1056012728 2112025456