Search a number
-
+
22232033310333 = 3721171193647019
BaseRepresentation
bin1010000111000010011000…
…11100101011011001111101
32220201100202121220210220110
411003201030130223121331
510403222201011412313
6115141131034140233
74453132340101200
oct503411434533175
986640677823813
1022232033310333
1170a1609241210
1225b0872b81679
13c5361956a372
1456c0712c3937
1528848d6a3ec3
hex14384c72b67d

22232033310333 has 48 divisors (see below), whose sum is σ = 38146913763840. Its totient is φ = 11386444658400.

The previous prime is 22232033310329. The next prime is 22232033310337. The reversal of 22232033310333 is 33301333023222.

It is an interprime number because it is at equal distance from previous prime (22232033310329) and next prime (22232033310337).

It is not a de Polignac number, because 22232033310333 - 22 = 22232033310329 is a prime.

It is a super-2 number, since 2×222320333103332 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22232033310333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22232033310337) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 96708703 + ... + 96938316.

It is an arithmetic number, because the mean of its divisors is an integer number (794727370080).

Almost surely, 222232033310333 is an apocalyptic number.

It is an amenable number.

22232033310333 is a deficient number, since it is larger than the sum of its proper divisors (15914880453507).

22232033310333 is a wasteful number, since it uses less digits than its factorization.

22232033310333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193647118 (or 193647111 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 22232033310333 its reverse (33301333023222), we get a palindrome (55533366333555).

The spelling of 22232033310333 in words is "twenty-two trillion, two hundred thirty-two billion, thirty-three million, three hundred ten thousand, three hundred thirty-three".

Divisors: 1 3 7 11 21 33 49 71 77 147 213 231 497 539 781 1491 1617 2343 3479 5467 10437 16401 38269 114807 193647019 580941057 1355529133 2130117209 4066587399 6390351627 9488703931 13748938349 14910820463 28466111793 41246815047 44732461389 96242568443 104375743241 151238321839 288727705329 313127229723 453714965517 673697979101 1058668252873 2021093937303 3176004758619 7410677770111 22232033310333