Search a number
-
+
33222233002122 = 23217310668668273
BaseRepresentation
bin1111000110111001001110…
…11001011001000010001010
311100122000101112120020201200
413203130213121121002022
513323303113122031442
6154354025543125030
76666140622114423
oct743344731310212
9140560345506650
1033222233002122
11a64951947854a
123886836743776
13156cac6480b78
1482bd7103864a
153c92be79834c
hex1e372765908a

33222233002122 has 24 divisors (see below), whose sum is σ = 72397582907364. Its totient is φ = 11010065656704.

The previous prime is 33222233002111. The next prime is 33222233002157. The reversal of 33222233002122 is 22120033222233.

33222233002122 is a `hidden beast` number, since 3 + 322 + 2 + 2 + 330 + 0 + 2 + 1 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32642471062881 + 579761939241 = 5713359^2 + 761421^2 .

It is a super-2 number, since 2×332222330021222 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5334331023 + ... + 5334337250.

Almost surely, 233222233002122 is an apocalyptic number.

33222233002122 is an abundant number, since it is smaller than the sum of its proper divisors (39175349905242).

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

33222233002122 is a wasteful number, since it uses less digits than its factorization.

33222233002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10668668454 (or 10668668451 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 33222233002122 its reverse (22120033222233), we get a palindrome (55342266224355).

The spelling of 33222233002122 in words is "thirty-three trillion, two hundred twenty-two billion, two hundred thirty-three million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 3114 10668668273 21337336546 32006004819 64012009638 96018014457 192036028914 1845679611229 3691359222458 5537038833687 11074077667374 16611116501061 33222233002122