Search a number
-
+
2212222302033 = 317314149996827
BaseRepresentation
bin100000001100010010101…
…110010111011101010001
321211111010120112210212120
4200030102232113131101
5242221112402131113
64412140401244453
7315553634210502
oct40142256273521
97744116483776
102212222302033
1178321a8a9447
122b88b0933729
131307c4ab0513
1479101cd8ba9
153c829484a23
hex20312b97751

2212222302033 has 64 divisors (see below), whose sum is σ = 3303659520000. Its totient is φ = 1310067763200.

The previous prime is 2212222302013. The next prime is 2212222302047. The reversal of 2212222302033 is 3302032222122.

It is a de Polignac number, because none of the positive numbers 2k-2212222302033 is a prime.

It is a super-2 number, since 2×22122223020332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212222301994 and 2212222302012.

It is not an unprimeable number, because it can be changed into a prime (2212222302013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324036766 + ... + 324043592.

It is an arithmetic number, because the mean of its divisors is an integer number (51619680000).

Almost surely, 22212222302033 is an apocalyptic number.

It is an amenable number.

2212222302033 is a deficient number, since it is larger than the sum of its proper divisors (1091437217967).

2212222302033 is a wasteful number, since it uses less digits than its factorization.

2212222302033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2212222302033 its reverse (3302032222122), we get a palindrome (5514254524155).

The spelling of 2212222302033 in words is "two trillion, two hundred twelve billion, two hundred twenty-two million, three hundred two thousand, thirty-three".

Divisors: 1 3 17 31 41 51 93 123 527 697 1271 1581 2091 3813 4999 6827 14997 20481 21607 64821 84983 116059 154969 204959 211637 254949 279907 348177 464907 614877 634911 839721 2634473 3484303 3597829 4758419 6353729 7903419 8677117 10452909 10793487 14275257 19061187 26031351 34128173 102384519 108013393 147510989 324040179 442532967 580178941 1057973363 1399255093 1740536823 3173920089 4197765279 17985547171 23787336581 43376907883 53956641513 71362009743 130130723649 737407434011 2212222302033