Search a number
-
+
22252256676 = 223213199725799
BaseRepresentation
bin10100101110010101…
…100111110110100100
32010102210112202120200
4110232111213312210
5331033034203201
614120023030500
71415301026616
oct245625476644
963383482520
1022252256676
119489900881
12439029b430
1321381a48b0
141111486db6
158a385b386
hex52e567da4

22252256676 has 144 divisors (see below), whose sum is σ = 64423632000. Its totient is φ = 6419367936.

The previous prime is 22252256651. The next prime is 22252256693. The reversal of 22252256676 is 67665225222.

22252256676 is a `hidden beast` number, since 2 + 2 + 2 + 522 + 56 + 6 + 76 = 666.

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 47 ways as a sum of consecutive naturals, for example, 849625 + ... + 875423.

Almost surely, 222252256676 is an apocalyptic number.

22252256676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22252256676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32211816000).

22252256676 is an abundant number, since it is smaller than the sum of its proper divisors (42171375324).

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

22252256676 is a wasteful number, since it uses less digits than its factorization.

22252256676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25938 (or 25933 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 22252256676 in words is "twenty-two billion, two hundred fifty-two million, two hundred fifty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 97 114 117 156 171 194 228 234 247 291 342 388 468 494 582 684 741 873 988 1164 1261 1482 1746 1843 2223 2522 2964 3492 3686 3783 4446 5044 5529 7372 7566 8892 11058 11349 15132 16587 22116 22698 23959 25799 33174 45396 47918 51598 66348 71877 77397 95836 103196 143754 154794 215631 232191 287508 309588 335387 431262 464382 490181 670774 862524 928764 980362 1006161 1341548 1470543 1960724 2012322 2502503 2941086 3018483 4024644 4411629 5005006 5882172 6036966 6372353 7507509 8823258 10010012 12073932 12744706 15015018 17646516 19117059 22522527 25489412 30030036 32532539 38234118 45045054 47547557 57351177 65065078 76468236 90090108 95095114 97597617 114702354 130130156 142642671 190190228 195195234 229404708 285285342 292792851 390390468 427928013 570570684 585585702 618118241 855856026 1171171404 1236236482 1711712052 1854354723 2472472964 3708709446 5563064169 7417418892 11126128338 22252256676