Search a number
-
+
222066187781312 = 267895569477021
BaseRepresentation
bin110010011111011111010000…
…001111010100010011000000
31002010021022122102221002011002
4302133133100033110103000
5213101313023033000222
62104143444234311132
764526516101605110
oct6237372017242300
91063238572832132
10222066187781312
1164836817826986
1220aa5ab8b884a8
1396ba9a04c9804
143cba0bcd15040
151aa16b79d2392
hexc9f7d03d44c0

222066187781312 has 56 divisors (see below), whose sum is σ = 509272978891680. Its totient is φ = 94101883729920.

The previous prime is 222066187781303. The next prime is 222066187781371. The reversal of 222066187781312 is 213187781660222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2784698639 + ... + 2784778382.

Almost surely, 2222066187781312 is an apocalyptic number.

It is an amenable number.

222066187781312 is an abundant number, since it is smaller than the sum of its proper divisors (287206791110368).

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

222066187781312 is an equidigital number, since it uses as much as digits as its factorization.

222066187781312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569477129 (or 5569477119 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 222066187781312 in words is "two hundred twenty-two trillion, sixty-six billion, one hundred eighty-seven million, seven hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 623 712 1246 1424 2492 2848 4984 5696 9968 19936 39872 5569477021 11138954042 22277908084 38986339147 44555816168 77972678294 89111632336 155945356588 178223264672 311890713176 356446529344 495683454869 623781426352 991366909738 1247562852704 1982733819476 2495125705408 3469784184083 3965467638952 6939568368166 7930935277904 13879136736332 15861870555808 27758273472664 31723741111616 55516546945328 111033093890656 222066187781312