Search a number
-
+
72222118884 = 223310117413803
BaseRepresentation
bin100001101000011000…
…1100001001111100100
320220102021122202221000
41003100301201033210
52140402330301014
653102310353300
75134505611236
oct1032061411744
9226367582830
1072222118884
11286a1559963
1211bb705b830
136a6c9219b6
1436d1bb0256
151d2a74b509
hex10d0c613e4

72222118884 has 96 divisors (see below), whose sum is σ = 189254782080. Its totient is φ = 23815728000.

The previous prime is 72222118877. The next prime is 72222118889. The reversal of 72222118884 is 48881122227.

It is not an unprimeable number, because it can be changed into a prime (72222118889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18988927 + ... + 18992729.

It is an arithmetic number, because the mean of its divisors is an integer number (1971403980).

Almost surely, 272222118884 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 72222118884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94627391040).

72222118884 is an abundant number, since it is smaller than the sum of its proper divisors (117032663196).

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

72222118884 is a wasteful number, since it uses less digits than its factorization.

72222118884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5650 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The spelling of 72222118884 in words is "seventy-two billion, two hundred twenty-two million, one hundred eighteen thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1741 1818 2727 3482 3636 3803 5223 5454 6964 7606 10446 10908 11409 15212 15669 20892 22818 31338 34227 45636 47007 62676 68454 94014 102681 136908 175841 188028 205362 351682 384103 410724 527523 703364 768206 1055046 1152309 1536412 1582569 2110092 2304618 3165138 3456927 4609236 4747707 6330276 6621023 6913854 9495414 10370781 13242046 13827708 18990828 19863069 20741562 26484092 39726138 41483124 59589207 79452276 119178414 178767621 238356828 357535242 668723323 715070484 1337446646 2006169969 2674893292 4012339938 6018509907 8024679876 12037019814 18055529721 24074039628 36111059442 72222118884