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2210422314 = 2317234720047
BaseRepresentation
bin1000001111000000…
…0101111000101010
312201001022002101010
42003300011320222
514011332003224
61003201004350
7105530164632
oct20360057052
95631262333
102210422314
11a347a9001
125183236b6
13292c404c9
1416d7d16c2
15ce0c9e29
hex83c05e2a

2210422314 has 64 divisors (see below), whose sum is σ = 4988583936. Its totient is φ = 649169664.

The previous prime is 2210422307. The next prime is 2210422321. The reversal of 2210422314 is 4132240122.

It is an interprime number because it is at equal distance from previous prime (2210422307) and next prime (2210422321).

It is a super-2 number, since 2×22104223142 = 9771933612458229192, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 100239 + ... + 120285.

It is an arithmetic number, because the mean of its divisors is an integer number (77946624).

Almost surely, 22210422314 is an apocalyptic number.

2210422314 is an abundant number, since it is smaller than the sum of its proper divisors (2778161622).

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

2210422314 is a wasteful number, since it uses less digits than its factorization.

2210422314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20139.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2210422314 is about 47015.1285651757. The cubic root of 2210422314 is about 1302.6420261105.

Adding to 2210422314 its reverse (4132240122), we get a palindrome (6342662436).

The spelling of 2210422314 in words is "two billion, two hundred ten million, four hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 23 34 46 47 51 69 94 102 138 141 282 391 782 799 1081 1173 1598 2162 2346 2397 3243 4794 6486 18377 20047 36754 40094 55131 60141 110262 120282 340799 461081 681598 922162 942209 1022397 1383243 1884418 2044794 2766486 2826627 5653254 7838377 15676754 16017553 21670807 23515131 32035106 43341614 47030262 48052659 65012421 96105318 130024842 368403719 736807438 1105211157 2210422314