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2242344132 = 2232717647809
BaseRepresentation
bin1000010110100111…
…0111010011000100
312210021100212212200
42011221313103010
514043020003012
61010301114500
7106365416310
oct20551672304
95707325780
102242344132
11a50821376
12526b58a30
13299739162
14173b40b40
15d1cd33dc
hex85a774c4

2242344132 has 144 divisors (see below), whose sum is σ = 6878027520. Its totient is φ = 601307136.

The previous prime is 2242344113. The next prime is 2242344151. The reversal of 2242344132 is 2314432422.

2242344132 is a `hidden beast` number, since 2 + 242 + 3 + 4 + 413 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2242344113) and next prime (2242344151).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2242344096 and 2242344105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2771344 + ... + 2772152.

It is an arithmetic number, because the mean of its divisors is an integer number (47764080).

Almost surely, 22242344132 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 2242344132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439013760).

2242344132 is an abundant number, since it is smaller than the sum of its proper divisors (4635683388).

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

2242344132 is a wasteful number, since it uses less digits than its factorization.

2242344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1485 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2242344132 is about 47353.3962034404. The cubic root of 2242344132 is about 1308.8827822903.

Adding to 2242344132 its reverse (2314432422), we get a palindrome (4556776554).

The spelling of 2242344132 in words is "two billion, two hundred forty-two million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 647 714 809 1071 1294 1428 1618 1941 2142 2427 2588 3236 3882 4284 4529 4854 5663 5823 7281 7764 9058 9708 10999 11326 11646 13587 13753 14562 16989 18116 21998 22652 23292 27174 27506 29124 32997 33978 40761 41259 43996 50967 54348 55012 65994 67956 76993 81522 82518 96271 98991 101934 123777 131988 153986 163044 165036 192542 197982 203868 230979 247554 288813 307972 385084 395964 461958 495108 523423 577626 692937 866439 923916 1046846 1155252 1385874 1570269 1732878 2093692 2771748 3140538 3465756 3663961 4710807 6281076 7327922 8898191 9421614 10991883 14655844 17796382 18843228 21983766 26694573 32975649 35592764 43967532 53389146 62287337 65951298 80083719 106778292 124574674 131902596 160167438 186862011 249149348 320334876 373724022 560586033 747448044 1121172066 2242344132