Search a number
-
+
22310311033332 = 22327223335421161
BaseRepresentation
bin1010001001010100001100…
…01010011111100111110100
32220222211210221021011000100
411010222012022133213310
510411013004111031312
6115241114305314100
74461603206546100
oct504520612374764
986884727234010
1022310311033332
117121827a4a073
122603a7a035930
13c5ab12925c5a
14571b79418900
1528a52086d5dc
hex144a8629f9f4

22310311033332 has 108 divisors (see below), whose sum is σ = 65631070064196. Its totient is φ = 6371641140480.

The previous prime is 22310311033327. The next prime is 22310311033411. The reversal of 22310311033332 is 23333011301322.

22310311033332 is a `hidden beast` number, since 2 + 2 + 3 + 10 + 311 + 0 + 3 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7082006729616 + 15228304303716 = 2661204^2 + 3902346^2 .

It is a super-3 number, since 3×223103110333323 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22310311033296 and 22310311033305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1404832 + ... + 6825992.

It is an arithmetic number, because the mean of its divisors is an integer number (607695093187).

Almost surely, 222310311033332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22310311033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32815535032098).

22310311033332 is an abundant number, since it is smaller than the sum of its proper divisors (43320759030864).

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

22310311033332 is a wasteful number, since it uses less digits than its factorization.

22310311033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423518 (or 5423506 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 22310311033332 its reverse (23333011301322), we get a palindrome (45643322334654).

The spelling of 22310311033332 in words is "twenty-two trillion, three hundred ten billion, three hundred eleven million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2333 4666 6999 9332 13998 16331 20997 27996 32662 41994 48993 65324 83988 97986 114317 146979 195972 228634 293958 342951 457268 587916 685902 1028853 1371804 2057706 4115412 5421161 10842322 16263483 21684644 32526966 37948127 48790449 65053932 75896254 97580898 113844381 151792508 195161796 227688762 265636889 341533143 455377524 531273778 683066286 796910667 1062547556 1366132572 1593821334 2390732001 3187642668 4781464002 9562928004 12647568613 25295137226 37942705839 50590274452 75885411678 88532980291 113828117517 151770823356 177065960582 227656235034 265598940873 354131921164 455312470068 531197881746 619730862037 796796822619 1062395763492 1239461724074 1593593645238 1859192586111 2478923448148 3187187290476 3718385172222 5577577758333 7436770344444 11155155516666 22310311033332