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2212077672 = 2332717215187
BaseRepresentation
bin1000001111011001…
…1010000001101000
312201011102012002200
42003312122001220
514012242441142
61003300300200
7105550231020
oct20366320150
95634365080
102212077672
11a35729772
125189a1660
1329339cacc
1416db02a80
15ce30564c
hex83d9a068

2212077672 has 144 divisors (see below), whose sum is σ = 7273836960. Its totient is φ = 594805248.

The previous prime is 2212077611. The next prime is 2212077683. The reversal of 2212077672 is 2767702122.

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

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 35 ways as a sum of consecutive naturals, for example, 138063 + ... + 153249.

Almost surely, 22212077672 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 2212077672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636918480).

2212077672 is an abundant number, since it is smaller than the sum of its proper divisors (5061759288).

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

2212077672 is a wasteful number, since it uses less digits than its factorization.

2212077672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 15216 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 2212077672 is about 47032.7297953244. The cubic root of 2212077672 is about 1302.9671224845.

Adding to 2212077672 its reverse (2767702122), we get a palindrome (4979779794).

The spelling of 2212077672 in words is "two billion, two hundred twelve million, seventy-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 289 306 357 408 476 504 578 612 714 867 952 1071 1156 1224 1428 1734 2023 2142 2312 2601 2856 3468 4046 4284 5202 6069 6936 8092 8568 10404 12138 15187 16184 18207 20808 24276 30374 36414 45561 48552 60748 72828 91122 106309 121496 136683 145656 182244 212618 258179 273366 318927 364488 425236 516358 546732 637854 774537 850472 956781 1032716 1093464 1275708 1549074 1807253 1913562 2065432 2323611 2551416 3098148 3614506 3827124 4389043 4647222 5421759 6196296 7229012 7654248 8778086 9294444 10843518 13167129 14458024 16265277 17556172 18588888 21687036 26334258 30723301 32530554 35112344 39501387 43374072 52668516 61446602 65061108 79002774 92169903 105337032 122893204 130122216 158005548 184339806 245786408 276509709 316011096 368679612 553019418 737359224 1106038836 2212077672