Search a number
-
+
202020222012 = 223747229722277
BaseRepresentation
bin1011110000100101010…
…1111111010000111100
3201022110010200121002220
42330021111333100330
511302214134101022
6232450134245340
720411151361050
oct2741125772074
9638403617086
10202020222012
117874916a974
12331a01b6850
1316086a26a0b
149ac6521c60
1553c59cd85c
hex2f0957f43c

202020222012 has 96 divisors (see below), whose sum is σ = 550446962688. Its totient is φ = 56464848384.

The previous prime is 202020222011. The next prime is 202020222013. The reversal of 202020222012 is 210222020202.

It is an interprime number because it is at equal distance from previous prime (202020222011) and next prime (202020222013).

It is a junction number, because it is equal to n+sod(n) for n = 202020221982 and 202020222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202020222011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9057418 + ... + 9079694.

It is an arithmetic number, because the mean of its divisors is an integer number (5733822528).

Almost surely, 2202020222012 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 202020222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275223481344).

202020222012 is an abundant number, since it is smaller than the sum of its proper divisors (348426740676).

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

202020222012 is a wasteful number, since it uses less digits than its factorization.

202020222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24635 (or 24633 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202020222012 its reverse (210222020202), we get a palindrome (412242242214).

The spelling of 202020222012 in words is "two hundred two billion, twenty million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 2297 3948 4594 6891 9188 13782 16079 22277 27564 32158 44554 48237 64316 66831 89108 96474 107959 133662 155939 192948 215918 267324 311878 323877 431836 467817 623756 647754 755713 935634 1047019 1295508 1511426 1871268 2094038 2267139 3022852 3141057 4188076 4534278 6282114 7329133 9068556 12564228 14658266 21987399 29316532 43974798 51170269 87949596 102340538 153510807 204681076 307021614 358191883 614043228 716383766 1074575649 1432767532 2149151298 2405002643 4298302596 4810005286 7215007929 9620010572 14430015858 16835018501 28860031716 33670037002 50505055503 67340074004 101010111006 202020222012