Search a number
-
+
2201238676 = 22713171272801
BaseRepresentation
bin1000001100110100…
…0011110010010100
312200102000111210101
42003031003302110
514002004114201
61002232103444
7105356135320
oct20315036224
95612014711
102201238676
11a2a5a621a
12515234b84
132910763c0
1416c4c0980
15cd3b3d01
hex83343c94

2201238676 has 96 divisors (see below), whose sum is σ = 5061353472. Its totient is φ = 812851200.

The previous prime is 2201238623. The next prime is 2201238701. The reversal of 2201238676 is 6768321022.

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, 784476 + ... + 787276.

It is an arithmetic number, because the mean of its divisors is an integer number (52722432).

Almost surely, 22201238676 is an apocalyptic number.

2201238676 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 2201238676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530676736).

2201238676 is an abundant number, since it is smaller than the sum of its proper divisors (2860114796).

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

2201238676 is a wasteful number, since it uses less digits than its factorization.

2201238676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 2201238676 is about 46917.3600706604. The cubic root of 2201238676 is about 1300.8354936929.

Adding to 2201238676 its reverse (6768321022), we get a palindrome (8969559698).

The spelling of 2201238676 in words is "two billion, two hundred one million, two hundred thirty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 127 182 221 238 254 364 442 476 508 884 889 1547 1651 1778 2159 2801 3094 3302 3556 4318 5602 6188 6604 8636 11204 11557 15113 19607 23114 28067 30226 36413 39214 46228 47617 56134 60452 72826 78428 95234 112268 145652 190468 196469 254891 333319 355727 392938 509782 619021 666638 711454 785876 1019564 1238042 1333276 1422908 2476084 2490089 4333147 4624451 4980178 6047359 8666294 9248902 9960356 12094718 17332588 18497804 24189436 32371157 42331513 64742314 78615667 84663026 129484628 157231334 169326052 314462668 550309669 1100619338 2201238676