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2154023322 = 231179974259
BaseRepresentation
bin1000000001100011…
…1100100110011010
312120010011201111120
42000120330212122
513402412221242
6553424110110
7104243616243
oct20030744632
95503151446
102154023322
11a05987670
12501465336
13284354619
1416610dcca
15c91891ec
hex8063c99a

2154023322 has 64 divisors (see below), whose sum is σ = 4809369600. Its totient is φ = 637678080.

The previous prime is 2154023303. The next prime is 2154023323. The reversal of 2154023322 is 2233204512.

It is a junction number, because it is equal to n+sod(n) for n = 2154023292 and 2154023301.

It is not an unprimeable number, because it can be changed into a prime (2154023323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 503629 + ... + 507887.

It is an arithmetic number, because the mean of its divisors is an integer number (75146400).

Almost surely, 22154023322 is an apocalyptic number.

2154023322 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 2154023322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404684800).

2154023322 is an abundant number, since it is smaller than the sum of its proper divisors (2655346278).

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

2154023322 is a wasteful number, since it uses less digits than its factorization.

2154023322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2154023322 is about 46411.4567967867. The cubic root of 2154023322 is about 1291.4674568970.

Adding to 2154023322 its reverse (2233204512), we get a palindrome (4387227834).

The spelling of 2154023322 in words is "two billion, one hundred fifty-four million, twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 79 97 158 194 237 291 474 582 869 1067 1738 2134 2607 3201 4259 5214 6402 7663 8518 12777 15326 22989 25554 45978 46849 84293 93698 140547 168586 252879 281094 336461 413123 505758 672922 826246 1009383 1239369 2018766 2478738 3701071 4544353 7402142 9088706 11103213 13633059 22206426 27266118 32636717 65273434 97910151 195820302 359003887 718007774 1077011661 2154023322