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2221642836 = 2233710692749
BaseRepresentation
bin1000010001101011…
…1001010001010100
312201211102011001000
42010122321101110
514022220032321
61004241303300
7106024436550
oct20432712124
95654364030
102221642836
11a40072166
12520034b30
1329536b77a
141710b2860
15d0094826
hex846b9454

2221642836 has 96 divisors (see below), whose sum is σ = 6591200000. Its totient is φ = 633930624.

The previous prime is 2221642751. The next prime is 2221642873. The reversal of 2221642836 is 6382461222.

2221642836 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 642 + 8 + 3 + 6 = 666.

It is a super-4 number, since 4×22216428364 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2221642836.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806790 + ... + 809538.

Almost surely, 22221642836 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 2221642836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295600000).

2221642836 is an abundant number, since it is smaller than the sum of its proper divisors (4369557164).

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

2221642836 is a wasteful number, since it uses less digits than its factorization.

2221642836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3830 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2221642836 is about 47134.3063595933. The cubic root of 2221642836 is about 1304.8424595132.

The spelling of 2221642836 in words is "two billion, two hundred twenty-one million, six hundred forty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1069 2138 2749 3207 4276 5498 6414 7483 8247 9621 10996 12828 14966 16494 19242 19243 22449 24741 28863 29932 32988 38484 38486 44898 49482 57726 57729 67347 74223 76972 89796 98964 115452 115458 134694 148446 173187 202041 230916 269388 296892 346374 404082 519561 692748 808164 1039122 2078244 2938681 5877362 8816043 11754724 17632086 20570767 26448129 35264172 41141534 52896258 61712301 79344387 82283068 105792516 123424602 158688774 185136903 246849204 317377548 370273806 555410709 740547612 1110821418 2221642836