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2022064304 = 241336726489
BaseRepresentation
bin111100010000110…
…0100000010110000
312012220212111202112
41320201210002300
513120122024204
6532351504452
7101052156131
oct17041440260
95186774675
102022064304
11948447927
12485228128
13262c01270
1415279dc88
15bc7c026e
hex788640b0

2022064304 has 40 divisors (see below), whose sum is σ = 4230770880. Its totient is φ = 930682368.

The previous prime is 2022064301. The next prime is 2022064307. The reversal of 2022064304 is 4034602202.

It is an interprime number because it is at equal distance from previous prime (2022064301) and next prime (2022064307).

It is a super-2 number, since 2×20220643042 = 8177488099022008832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2022064304.

It is not an unprimeable number, because it can be changed into a prime (2022064301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63092 + ... + 89580.

It is an arithmetic number, because the mean of its divisors is an integer number (105769272).

Almost surely, 22022064304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022064304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115385440).

2022064304 is an abundant number, since it is smaller than the sum of its proper divisors (2208706576).

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

2022064304 is a wasteful number, since it uses less digits than its factorization.

2022064304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26877 (or 26871 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2022064304 is about 44967.3693248782. The cubic root of 2022064304 is about 1264.5373289640.

Adding to 2022064304 its reverse (4034602202), we get a palindrome (6056666506).

The spelling of 2022064304 in words is "two billion, twenty-two million, sixty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 367 734 1468 2936 4771 5872 9542 19084 26489 38168 52978 76336 105956 211912 344357 423824 688714 1377428 2754856 5509712 9721463 19442926 38885852 77771704 126379019 155543408 252758038 505516076 1011032152 2022064304