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2022016680 = 2332541136993
BaseRepresentation
bin111100010000101…
…1000011010101000
312012220210002102200
41320201120122220
513120114013210
6532350500200
7101051600235
oct17041303250
95186702380
102022016680
11948415072
12485204660
13262bb5698
1415278a78c
15bc7b10c0
hex788586a8

2022016680 has 96 divisors (see below), whose sum is σ = 6731885160. Its totient is φ = 526049280.

The previous prime is 2022016673. The next prime is 2022016681. The reversal of 2022016680 is 866102202.

It can be written as a sum of positive squares in 4 ways, for example, as 1585791684 + 436224996 = 39822^2 + 20886^2 .

It is not an unprimeable number, because it can be changed into a prime (2022016681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53737 + ... + 83256.

Almost surely, 22022016680 is an apocalyptic number.

2022016680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022016680 is an abundant number, since it is smaller than the sum of its proper divisors (4709868480).

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

2022016680 is a wasteful number, since it uses less digits than its factorization.

2022016680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137051 (or 137044 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2022016680 is about 44966.8397822217. The cubic root of 2022016680 is about 1264.5274013538.

Adding to 2022016680 its reverse (866102202), we get a palindrome (2888118882).

The spelling of 2022016680 in words is "two billion, twenty-two million, sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 136993 273986 410979 547972 684965 821958 1095944 1232937 1369930 1643916 2054895 2465874 2739860 3287832 4109790 4931748 5479720 5616713 6164685 8219580 9863496 11233426 12329370 16439160 16850139 22466852 24658740 28083565 33700278 44933704 49317480 50550417 56167130 67400556 84250695 101100834 112334260 134801112 168501390 202201668 224668520 252752085 337002780 404403336 505504170 674005560 1011008340 2022016680