Search a number
-
+
202232140231122 = 23238473911746737
BaseRepresentation
bin101101111110110111010110…
…111000010111000111010010
3222112001012111120021111120100
4231332313112320113013102
5203001332410344343442
61554040055045153230
760411534650242401
oct5576672670270722
9875035446244510
10202232140231122
115948a194a85711
121a821b3a6bb816
1388ac541740151
1437d2132d5d638
15185a7c6e7c84c
hexb7edd6e171d2

202232140231122 has 48 divisors (see below), whose sum is σ = 438396187612032. Its totient is φ = 67375868549760.

The previous prime is 202232140231087. The next prime is 202232140231129. The reversal of 202232140231122 is 221132041232202.

202232140231122 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 321 + 4 + 0 + 2 + 311 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (202232140231129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270447738 + ... + 271194474.

It is an arithmetic number, because the mean of its divisors is an integer number (9133253908584).

Almost surely, 2202232140231122 is an apocalyptic number.

202232140231122 is an abundant number, since it is smaller than the sum of its proper divisors (236164047380910).

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

202232140231122 is a wasteful number, since it uses less digits than its factorization.

202232140231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754503 (or 754500 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 202232140231122 its reverse (221132041232202), we get a palindrome (423364181463324).

The spelling of 202232140231122 in words is "two hundred two trillion, two hundred thirty-two billion, one hundred forty million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 3847 3911 7694 7822 11541 11733 23082 23466 34623 35199 69246 70398 746737 1493474 2240211 4480422 6720633 13441266 15045617 30091234 45136851 90273702 135410553 270821106 2872697239 2920488407 5745394478 5840976814 8618091717 8761465221 17236183434 17522930442 25854275151 26284395663 51708550302 52568791326 11235118901729 22470237803458 33705356705187 67410713410374 101116070115561 202232140231122