Search a number
-
+
22272000985 = 51317191105527
BaseRepresentation
bin10100101111100000…
…111100001111011001
32010111011200212200101
4110233200330033121
5331103113012420
614122010135401
71415630612323
oct245740741731
963434625611
1022272000985
119499a66a93
124396a21561
13213c2c8810
141113d46613
158a545b60a
hex52f83c3d9

22272000985 has 32 divisors (see below), whose sum is σ = 30635200512. Its totient is φ = 15398353920.

The previous prime is 22272000953. The next prime is 22272000991. The reversal of 22272000985 is 58900027222.

22272000985 is a nontrivial binomial coefficient, being equal to C(211055, 2).

It is not a de Polignac number, because 22272000985 - 25 = 22272000953 is a prime.

It is a Duffinian 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 31 ways as a sum of consecutive naturals, for example, 158292 + ... + 263818.

It is an arithmetic number, because the mean of its divisors is an integer number (957350016).

Almost surely, 222272000985 is an apocalyptic number.

22272000985 is the 211054-th triangular number.

22272000985 is the 70352-nd centered nonagonal number.

It is an amenable number.

22272000985 is a deficient number, since it is larger than the sum of its proper divisors (8363199527).

22272000985 is a wasteful number, since it uses less digits than its factorization.

22272000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105753.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 22272000985 in words is "twenty-two billion, two hundred seventy-two million, nine hundred eighty-five", and thus it is an aban number.

Divisors: 1 5 13 17 65 85 191 221 955 1105 2483 3247 12415 16235 42211 105527 211055 527635 1371851 1793959 6859255 8969795 20155657 23321467 100778285 116607335 262023541 342646169 1310117705 1713230845 4454400197 22272000985