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2143442200 = 2352291013659
BaseRepresentation
bin111111111000010…
…0101010100011000
312112101021010221011
41333300211110120
513342210122300
6552405223304
7104054646424
oct17760452430
95471233834
102143442200
119aaa0a939
124b9a01b34
132820bb3c3
14164957b84
15c8298eba
hex7fc25518

2143442200 has 96 divisors (see below), whose sum is σ = 5207814000. Its totient is φ = 819392000.

The previous prime is 2143442179. The next prime is 2143442209. The reversal of 2143442200 is 22443412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143442209) 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, 583971 + ... + 587629.

Almost surely, 22143442200 is an apocalyptic number.

2143442200 is a gapful number since it is divisible by the number (20) 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 2143442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603907000).

2143442200 is an abundant number, since it is smaller than the sum of its proper divisors (3064371800).

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

2143442200 is a wasteful number, since it uses less digits than its factorization.

2143442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2143442200 is about 46297.3238967438. The cubic root of 2143442200 is about 1289.3493102836.

Adding to 2143442200 its reverse (22443412), we get a palindrome (2165885612).

The spelling of 2143442200 in words is "two billion, one hundred forty-three million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 101 116 145 200 202 232 290 404 505 580 725 808 1010 1160 1450 2020 2525 2900 2929 3659 4040 5050 5800 5858 7318 10100 11716 14636 14645 18295 20200 23432 29272 29290 36590 58580 73180 73225 91475 106111 117160 146360 146450 182950 212222 292900 365900 369559 424444 530555 585800 731800 739118 848888 1061110 1478236 1847795 2122220 2652775 2956472 3695590 4244440 5305550 7391180 9238975 10611100 10717211 14782360 18477950 21222200 21434422 36955900 42868844 53586055 73911800 85737688 107172110 214344220 267930275 428688440 535860550 1071721100 2143442200