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212322200020 = 22576797233357
BaseRepresentation
bin1100010110111101100…
…0111010100111010100
3202022001002200022011221
43011233120322213110
511434313440400040
6241312305340124
721224353631260
oct3055730724724
9668032608157
10212322200020
118205538a487
1235196337644
13170391553a8
14a3c28110a0
1557ca13b74a
hex316f63a9d4

212322200020 has 96 divisors (see below), whose sum is σ = 522512831232. Its totient is φ = 70970093568.

The previous prime is 212322200011. The next prime is 212322200021. The reversal of 212322200020 is 20002223212.

It is a junction number, because it is equal to n+sod(n) for n = 212322199967 and 212322200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212322200021) 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, 793182 + ... + 1026538.

It is an arithmetic number, because the mean of its divisors is an integer number (5442841992).

Almost surely, 2212322200020 is an apocalyptic number.

212322200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212322200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261256415616).

212322200020 is an abundant number, since it is smaller than the sum of its proper divisors (310190631212).

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

212322200020 is a wasteful number, since it uses less digits than its factorization.

212322200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233537 (or 233535 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 212322200020 its reverse (20002223212), we get a palindrome (232324423232).

The spelling of 212322200020 in words is "two hundred twelve billion, three hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 97 134 140 194 268 335 388 469 485 670 679 938 970 1340 1358 1876 1940 2345 2716 3395 4690 6499 6790 9380 12998 13580 25996 32495 45493 64990 90986 129980 181972 227465 233357 454930 466714 909860 933428 1166785 1633499 2333570 3266998 4667140 6533996 8167495 15634919 16334990 22635629 31269838 32669980 45271258 62539676 78174595 90542516 109444433 113178145 156349190 158449403 218888866 226356290 312698380 316898806 437777732 452712580 547222165 633797612 792247015 1094444330 1516587143 1584494030 2188888660 3033174286 3168988060 6066348572 7582935715 10616110001 15165871430 21232220002 30331742860 42464440004 53080550005 106161100010 212322200020