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22302221013332 = 22132917338533913
BaseRepresentation
bin1010001001000101000111…
…11101100001000101010100
32220222001221010110112212222
411010202203331201011110
510410344422034411312
6115233255432201512
74461165553531001
oct504424375410524
986861833415788
1022302221013332
117119356387327
1226023a0839298
13c5a123854a80
1457160cbda8a8
1528a1ea4e0672
hex1448a3f61154

22302221013332 has 48 divisors (see below), whose sum is σ = 43505552215440. Its totient is φ = 9932654312448.

The previous prime is 22302221013313. The next prime is 22302221013337. The reversal of 22302221013332 is 23331012220322.

It can be written as a sum of positive squares in 8 ways, for example, as 186212962576 + 22116008050756 = 431524^2 + 4702766^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22302221013337) 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 15 ways as a sum of consecutive naturals, for example, 1653593 + ... + 6880320.

It is an arithmetic number, because the mean of its divisors is an integer number (906365671155).

Almost surely, 222302221013332 is an apocalyptic number.

It is an amenable number.

22302221013332 is a deficient number, since it is larger than the sum of its proper divisors (21203331202108).

22302221013332 is a wasteful number, since it uses less digits than its factorization.

22302221013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535692 (or 8535690 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 22302221013332 its reverse (23331012220322), we get a palindrome (45633233233654).

The spelling of 22302221013332 in words is "twenty-two trillion, three hundred two billion, two hundred twenty-one million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 29 52 58 116 377 754 1508 1733 3466 6932 22529 45058 50257 90116 100514 201028 653341 1306682 2613364 8533913 17067826 34135652 110940869 221881738 247483477 443763476 494966954 989933908 3217285201 6434570402 12869140804 14789271229 29578542458 59157084916 192260525977 384521051954 428888865641 769042103908 857777731282 1715555462564 5575555253333 11151110506666 22302221013332