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3002213322 = 234235091583
BaseRepresentation
bin1011001011110010…
…0010001111001010
321202020012020110000
42302330202033022
522122031311242
61213523503430
7134253251343
oct26274421712
97666166400
103002213322
111300742339
126b9527b76
1338acaaab4
14206a210ca
1512887ea4c
hexb2f223ca

3002213322 has 80 divisors (see below), whose sum is σ = 7037902080. Its totient is φ = 954743328.

The previous prime is 3002213297. The next prime is 3002213359. The reversal of 3002213322 is 2233122003.

It is a happy number.

3002213322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3002213295 and 3002213304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1895743 + ... + 1897325.

It is an arithmetic number, because the mean of its divisors is an integer number (87973776).

Almost surely, 23002213322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002213322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518951040).

3002213322 is an abundant number, since it is smaller than the sum of its proper divisors (4035688758).

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

3002213322 is a wasteful number, since it uses less digits than its factorization.

3002213322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2120 counting only the distinct ones).

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

The square root of 3002213322 is about 54792.4567983587. The cubic root of 3002213322 is about 1442.6041678622.

Adding to 3002213322 its reverse (2233122003), we get a palindrome (5235335325).

The spelling of 3002213322 in words is "three billion, two million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 509 621 1018 1242 1527 1583 1863 3054 3166 3726 4581 4749 9162 9498 11707 13743 14247 23414 27486 28494 35121 36409 41229 42741 70242 72818 82458 85482 105363 109227 128223 210726 218454 256446 316089 327681 632178 655362 805747 948267 983043 1611494 1896534 1966086 2417241 2949129 4834482 5898258 7251723 14503446 18532181 21755169 37064362 43510338 55596543 65265507 111193086 130531014 166789629 333579258 500368887 1000737774 1501106661 3002213322