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212322199986 = 2321311342119073
BaseRepresentation
bin1100010110111101100…
…0111010100110110010
3202022001002200022010200
43011233120322212302
511434313440344421
6241312305340030
721224353631211
oct3055730724662
9668032608120
10212322199986
118205538a456
1235196337616
1317039155380
14a3c2811078
1557ca13b726
hex316f63a9b2

212322199986 has 96 divisors (see below), whose sum is σ = 501016147632. Its totient is φ = 64594575360.

The previous prime is 212322199981. The next prime is 212322199987. The reversal of 212322199986 is 689991223212.

212322199986 is a `hidden beast` number, since 212 + 322 + 19 + 9 + 98 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36996599025 + 175325600961 = 192345^2 + 418719^2 .

It is not an unprimeable number, because it can be changed into a prime (212322199981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11122546 + ... + 11141618.

Almost surely, 2212322199986 is an apocalyptic number.

212322199986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212322199986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250508073816).

212322199986 is an abundant number, since it is smaller than the sum of its proper divisors (288693947646).

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

212322199986 is a wasteful number, since it uses less digits than its factorization.

212322199986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19628 (or 19625 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 212322199986 in words is "two hundred twelve billion, three hundred twenty-two million, one hundred ninety-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 421 678 842 1017 1263 1469 2034 2526 2938 3789 4407 5473 7578 8814 10946 13221 16419 19073 26442 32838 38146 47573 49257 57219 95146 98514 114438 142719 171657 247949 285438 343314 428157 495898 618449 743847 856314 1236898 1487694 1855347 2155249 2231541 3710694 4310498 4463082 5566041 6465747 8029733 11132082 12931494 16059466 19397241 24089199 28018237 38794482 48178398 56036474 72267597 84054711 104386529 144535194 168109422 208773058 252164133 313159587 504328266 626319174 907359829 939478761 1814719658 1878957522 2722079487 5444158974 8166238461 11795677777 16332476922 23591355554 35387033331 70774066662 106161099993 212322199986