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2022946705 = 513171979293
BaseRepresentation
bin111100010010011…
…1011011110010001
312012222112100012001
41320210323132101
513120333243310
6532422434001
7101062522543
oct17044733621
95188470161
102022946705
1194899a88a
12485592901
1326314cab0
1415294d693
15bc8e693a
hex7893b791

2022946705 has 32 divisors (see below), whose sum is σ = 2782400544. Its totient is φ = 1398706176.

The previous prime is 2022946703. The next prime is 2022946711. The reversal of 2022946705 is 5076492202.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 371255824 + 1651690881 = 19268^2 + 40641^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022946705 - 21 = 2022946703 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2022946703) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 213039 + ... + 222331.

It is an arithmetic number, because the mean of its divisors is an integer number (86950017).

Almost surely, 22022946705 is an apocalyptic number.

It is an amenable number.

2022946705 is a deficient number, since it is larger than the sum of its proper divisors (759453839).

2022946705 is a wasteful number, since it uses less digits than its factorization.

2022946705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2022946705 is about 44977.1798248845. The cubic root of 2022946705 is about 1264.7212444359.

The spelling of 2022946705 in words is "two billion, twenty-two million, nine hundred forty-six thousand, seven hundred five".

Divisors: 1 5 13 17 65 85 197 221 985 1105 2561 3349 9293 12805 16745 43537 46465 120809 157981 217685 604045 789905 1830721 2053753 9153605 10268765 23799373 31122257 118996865 155611285 404589341 2022946705