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2142422184 = 233756322651
BaseRepresentation
bin111111110110010…
…1100010010101000
312112022100022201210
41333230230102220
513341430002214
6552331313120
7104043200550
oct17754542250
95468308653
102142422184
119aa383551
124b95ab7a0
13281b22046
14164770160
15c8146b59
hex7fb2c4a8

2142422184 has 64 divisors (see below), whose sum is σ = 6132349440. Its totient is φ = 611006400.

The previous prime is 2142422167. The next prime is 2142422209. The reversal of 2142422184 is 4812242412.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83259 + ... + 105909.

It is an arithmetic number, because the mean of its divisors is an integer number (95817960).

Almost surely, 22142422184 is an apocalyptic number.

2142422184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142422184 is an abundant number, since it is smaller than the sum of its proper divisors (3989927256).

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

2142422184 is a wasteful number, since it uses less digits than its factorization.

2142422184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23230 (or 23226 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 2142422184 is about 46286.3066575850. The cubic root of 2142422184 is about 1289.1447537064.

Adding to 2142422184 its reverse (4812242412), we get a palindrome (6954664596).

The spelling of 2142422184 in words is "two billion, one hundred forty-two million, four hundred twenty-two thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 563 1126 1689 2252 3378 3941 4504 6756 7882 11823 13512 15764 22651 23646 31528 45302 47292 67953 90604 94584 135906 158557 181208 271812 317114 475671 543624 634228 951342 1268456 1902684 3805368 12752513 25505026 38257539 51010052 76515078 89267591 102020104 153030156 178535182 267802773 306060312 357070364 535605546 714140728 1071211092 2142422184