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2332010142 = 2337114313043
BaseRepresentation
bin1000101011111111…
…1010011010011110
320000112002101112000
42022333322122132
514233443311032
61023223023130
7111534521250
oct21277723236
96015071460
102332010142
11a973a4810
12550b9aaa6
132b21a2077
14181a01cd0
15d9ae5e7c
hex8affa69e

2332010142 has 128 divisors (see below), whose sum is σ = 6611742720. Its totient is φ = 591585120.

The previous prime is 2332010141. The next prime is 2332010143. The reversal of 2332010142 is 2410102332.

It is an interprime number because it is at equal distance from previous prime (2332010141) and next prime (2332010143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332010141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172273 + ... + 185315.

It is an arithmetic number, because the mean of its divisors is an integer number (51654240).

Almost surely, 22332010142 is an apocalyptic number.

2332010142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332010142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305871360).

2332010142 is an abundant number, since it is smaller than the sum of its proper divisors (4279732578).

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

2332010142 is a wasteful number, since it uses less digits than its factorization.

2332010142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13115 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2332010142 is about 48290.8908801650. The cubic root of 2332010142 is about 1326.1016383671.

Adding to 2332010142 its reverse (2410102332), we get a palindrome (4742112474).

The spelling of 2332010142 in words is "two billion, three hundred thirty-two million, ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 43 54 63 66 77 86 99 126 129 154 189 198 231 258 297 301 378 387 462 473 594 602 693 774 903 946 1161 1386 1419 1806 2079 2322 2709 2838 3311 4158 4257 5418 6622 8127 8514 9933 12771 13043 16254 19866 25542 26086 29799 39129 59598 78258 89397 91301 117387 143473 178794 182602 234774 273903 286946 352161 430419 547806 560849 704322 821709 860838 1004311 1121698 1291257 1643418 1682547 2008622 2465127 2582514 3012933 3365094 3873771 3925943 4930254 5047641 6025866 6169339 7747542 7851886 9038799 10095282 11777829 12338678 15142923 18077598 18508017 23555658 27116397 30285846 35333487 37016034 43185373 54232794 55524051 70666974 86370746 106000461 111048102 129556119 166572153 212000922 259112238 333144306 388668357 777336714 1166005071 2332010142