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2142204344 = 237261101887
BaseRepresentation
bin111111110101111…
…0111000110111000
312112021221020220122
41333223313012320
513341401014334
6552322512412
7104041302500
oct17753670670
95467836818
102142204344
119aa244915
124b9505708
13281a76b47
14164714a00
15c810232e
hex7faf71b8

2142204344 has 96 divisors (see below), whose sum is σ = 4801433760. Its totient is φ = 893088000.

The previous prime is 2142204329. The next prime is 2142204347. The reversal of 2142204344 is 4434022412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142204347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2414669 + ... + 2415555.

It is an arithmetic number, because the mean of its divisors is an integer number (50014935).

Almost surely, 22142204344 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 2142204344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400716880).

2142204344 is an abundant number, since it is smaller than the sum of its proper divisors (2659229416).

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

2142204344 is a wasteful number, since it uses less digits than its factorization.

2142204344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2142204344 is about 46283.9534180044. The cubic root of 2142204344 is about 1289.1010591110.

Adding to 2142204344 its reverse (4434022412), we get a palindrome (6576226756).

The spelling of 2142204344 in words is "two billion, one hundred forty-two million, two hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 101 122 196 202 244 392 404 427 488 707 808 854 887 1414 1708 1774 2828 2989 3416 3548 4949 5656 5978 6161 6209 7096 9898 11956 12322 12418 19796 23912 24644 24836 39592 43127 43463 49288 49672 54107 86254 86926 89587 108214 172508 173852 179174 216428 301889 345016 347704 358348 378749 432856 603778 627109 716696 757498 1207556 1254218 1514996 2415112 2508436 2651243 3029992 4389763 5016872 5302486 5464807 8779526 10604972 10929614 17559052 21209944 21859228 35118104 38253649 43718456 76507298 153014596 267775543 306029192 535551086 1071102172 2142204344