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2322133020 = 2232517758867
BaseRepresentation
bin1000101001101000…
…1111000000011100
312222211111120122200
42022122033000130
514223431224040
61022231211500
7111354543054
oct21232170034
95884446580
102322133020
11a918689a9
12549816b90
132b012440c
14180590564
15d8ce4630
hex8a68f01c

2322133020 has 72 divisors (see below), whose sum is σ = 7458154704. Its totient is φ = 582809088.

The previous prime is 2322133019. The next prime is 2322133039. The reversal of 2322133020 is 203312232.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2322132984 and 2322133002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376374 + ... + 382493.

It is an arithmetic number, because the mean of its divisors is an integer number (103585482).

Almost surely, 22322133020 is an apocalyptic number.

2322133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2322133020 is an abundant number, since it is smaller than the sum of its proper divisors (5136021684).

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

2322133020 is a wasteful number, since it uses less digits than its factorization.

2322133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758899 (or 758894 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2322133020 is about 48188.5154367719. The cubic root of 2322133020 is about 1324.2267746813.

Adding to 2322133020 its reverse (203312232), we get a palindrome (2525445252).

The spelling of 2322133020 in words is "two billion, three hundred twenty-two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 758867 1517734 2276601 3035468 3794335 4553202 6829803 7588670 9106404 11383005 12900739 13659606 15177340 22766010 25801478 27319212 34149015 38702217 45532020 51602956 64503695 68298030 77404434 116106651 129007390 136596060 154808868 193511085 232213302 258014780 387022170 464426604 580533255 774044340 1161066510 2322133020