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2320202142 = 2322337167907
BaseRepresentation
bin1000101001001011…
…0111100110011110
312222200212110222200
42022102313212132
514222432432032
61022121552330
7111332251506
oct21222674636
95880773880
102320202142
11a9076a235
125490456a6
132ac8c959b
1418020aa06
15d8a6247c
hex8a4b799e

2320202142 has 96 divisors (see below), whose sum is σ = 5425684992. Its totient is φ = 714681792.

The previous prime is 2320202111. The next prime is 2320202153. The reversal of 2320202142 is 2412020232.

2320202142 is a `hidden beast` number, since 2 + 320 + 202 + 142 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2557653 + ... + 2558559.

It is an arithmetic number, because the mean of its divisors is an integer number (56517552).

Almost surely, 22320202142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320202142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712842496).

2320202142 is an abundant number, since it is smaller than the sum of its proper divisors (3105482850).

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

2320202142 is a wasteful number, since it uses less digits than its factorization.

2320202142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2320202142 is about 48168.4766418869. The cubic root of 2320202142 is about 1323.8596367448.

Adding to 2320202142 its reverse (2412020232), we get a palindrome (4732222374).

The spelling of 2320202142 in words is "two billion, three hundred twenty million, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 167 207 222 333 334 414 501 666 851 907 1002 1503 1702 1814 2553 2721 3006 3841 5106 5442 6179 7659 7682 8163 11523 12358 15318 16326 18537 20861 23046 33559 34569 37074 41722 55611 62583 67118 69138 100677 111222 125166 142117 151469 187749 201354 284234 302031 302938 375498 426351 454407 604062 771857 852702 908814 1279053 1363221 1543714 2315571 2558106 2726442 3483787 4631142 5604353 6946713 6967574 10451361 11208706 13893426 16813059 20902722 31354083 33626118 50439177 62708166 100878354 128900119 257800238 386700357 773400714 1160101071 2320202142