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2125226688 = 263132413533
BaseRepresentation
bin111111010101100…
…0110001011000000
312111002222200221120
41332223012023000
513323024223223
6550514552240
7103444062114
oct17653061300
95432880846
102125226688
119a06a92a2
124b3898680
1327b3b12b0
14162375744
15c689bbe3
hex7eac62c0

2125226688 has 112 divisors (see below), whose sum is σ = 6082381536. Its totient is φ = 651018240.

The previous prime is 2125226659. The next prime is 2125226689. The reversal of 2125226688 is 8866225212.

It is not an unprimeable number, because it can be changed into a prime (2125226689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599770 + ... + 603302.

It is an arithmetic number, because the mean of its divisors is an integer number (54306978).

Almost surely, 22125226688 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 2125226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041190768).

2125226688 is an abundant number, since it is smaller than the sum of its proper divisors (3957154848).

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

2125226688 is a wasteful number, since it uses less digits than its factorization.

2125226688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3792 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 2125226688 is about 46100.1809974755. The cubic root of 2125226688 is about 1285.6865096786.

The spelling of 2125226688 in words is "two billion, one hundred twenty-five million, two hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 241 312 416 482 624 723 832 964 1248 1446 1928 2496 2892 3133 3533 3856 5784 6266 7066 7712 9399 10599 11568 12532 14132 15424 18798 21198 23136 25064 28264 37596 42396 45929 46272 50128 56528 75192 84792 91858 100256 113056 137787 150384 169584 183716 200512 226112 275574 300768 339168 367432 551148 601536 678336 734864 851453 1102296 1469728 1702906 2204592 2554359 2939456 3405812 4409184 5108718 6811624 8818368 10217436 11068889 13623248 20434872 22137778 27246496 33206667 40869744 44275556 54492992 66413334 81739488 88551112 132826668 163478976 177102224 265653336 354204448 531306672 708408896 1062613344 2125226688