Search a number
-
+
22002220212112 = 247297289320169
BaseRepresentation
bin1010000000010110010101…
…00001010001111110010000
32212220101120120000211002001
411000023022201101332100
510340441021333241422
6114443402550003344
74430415346020400
oct500131241217620
985811516024061
1022002220212112
1170130a8793068
122574217046554
13c37a5380558a
14560cad92a800
152824dcc24227
hex1402ca851f90

22002220212112 has 60 divisors (see below), whose sum is σ = 50100416558220. Its totient is φ = 9332311339008.

The previous prime is 22002220212103. The next prime is 22002220212169. The reversal of 22002220212112 is 21121202220022.

It can be written as a sum of positive squares in 2 ways, for example, as 4877719605136 + 17124500606976 = 2208556^2 + 4138176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22002220212112.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 144584037 + ... + 144736132.

It is an arithmetic number, because the mean of its divisors is an integer number (835006942637).

Almost surely, 222002220212112 is an apocalyptic number.

It is an amenable number.

22002220212112 is an abundant number, since it is smaller than the sum of its proper divisors (28098196346108).

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

22002220212112 is a wasteful number, since it uses less digits than its factorization.

22002220212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289320288 (or 289320275 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22002220212112 its reverse (21121202220022), we get a palindrome (43123422432134).

The spelling of 22002220212112 in words is "twenty-two trillion, two billion, two hundred twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 97 98 112 194 196 388 392 679 776 784 1358 1552 2716 4753 5432 9506 10864 19012 38024 76048 289320169 578640338 1157280676 2025241183 2314561352 4050482366 4629122704 8100964732 14176688281 16201929464 28064056393 28353376562 32403858928 56128112786 56706753124 112256225572 113413506248 196448394751 224512451144 226827012496 392896789502 449024902288 785793579004 1375138763257 1571587158008 2750277526514 3143174316016 5500555053028 11001110106056 22002220212112