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2210330122 = 27211131091447
BaseRepresentation
bin1000001110111110…
…1111011000001010
312201001010101220121
42003233233120022
514011321030442
61003155013454
7105526332100
oct20357573012
95631111817
102210330122
11a34745810
1251829a28a
13292c0a560
1416d7a9c70
15ce0ac967
hex83bef60a

2210330122 has 96 divisors (see below), whose sum is σ = 4575795840. Its totient is φ = 787086720.

The previous prime is 2210330117. The next prime is 2210330159.

2210330122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2210330096 and 2210330105.

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, 1526803 + ... + 1528249.

It is an arithmetic number, because the mean of its divisors is an integer number (47664540).

Almost surely, 22210330122 is an apocalyptic number.

2210330122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2210330122 is an abundant number, since it is smaller than the sum of its proper divisors (2365465718).

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

2210330122 is a wasteful number, since it uses less digits than its factorization.

2210330122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2210330122 is about 47014.1481045866. The cubic root of 2210330122 is about 1302.6239157186.

It can be divided in two parts, 22103 and 30122, that added together give a palindrome (52225).

The spelling of 2210330122 in words is "two billion, two hundred ten million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 109 143 154 182 218 286 539 637 763 1001 1078 1199 1274 1417 1447 1526 2002 2398 2834 2894 5341 7007 8393 9919 10129 10682 14014 15587 15917 16786 18811 19838 20258 31174 31834 37622 58751 69433 70903 109109 111419 117502 131677 138866 141806 157723 206921 218218 222838 263354 315446 413842 763763 779933 921739 1104061 1448447 1527526 1559866 1734953 1843478 2050399 2208122 2896894 3469906 4100798 7728427 10139129 12144671 14352793 15456854 20278258 22554389 24289342 28705586 45108778 85012697 100469551 157880723 170025394 200939102 315761446 1105165061 2210330122