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22130232232302 = 23317193673457193
BaseRepresentation
bin1010000100000100110001…
…01000011000100101101110
32220100121222221020020002000
411002002120220120211232
510400040203422413202
6115022253251513130
74442566533155265
oct502023050304556
986317887206060
1022130232232302
117062419185577
122594ba1bb87a6
13c46b44880c9c
14567174d895dc
152859d129b91c
hex142098a1896e

22130232232302 has 128 divisors (see below), whose sum is σ = 54961087334400. Its totient is φ = 6559482498048.

The previous prime is 22130232232279. The next prime is 22130232232307. The reversal of 22130232232302 is 20323223203122.

22130232232302 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 2 + 322 + 32 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130232232307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4672618 + ... + 8129810.

It is an arithmetic number, because the mean of its divisors is an integer number (429383494800).

Almost surely, 222130232232302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22130232232302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480543667200).

22130232232302 is an abundant number, since it is smaller than the sum of its proper divisors (32830855102098).

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

22130232232302 is a wasteful number, since it uses less digits than its factorization.

22130232232302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457607 (or 3457601 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22130232232302 its reverse (20323223203122), we get a palindrome (42453455435424).

The spelling of 22130232232302 in words is "twenty-two trillion, one hundred thirty billion, two hundred thirty-two million, two hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 367 459 513 646 734 918 969 1026 1101 1938 2202 2907 3303 5814 6239 6606 6973 8721 9909 12478 13946 17442 18717 19818 20919 37434 41838 56151 62757 112302 118541 125514 168453 188271 237082 336906 355623 376542 711246 1066869 2133738 3200607 3457193 6401214 6914386 10371579 20743158 31114737 58772281 62229474 65686667 93344211 117544562 131373334 176316843 186688422 197060001 352633686 394120002 528950529 591180003 1057901058 1116673339 1182360006 1268789831 1586851587 1773540009 2233346678 2537579662 3173703174 3350020017 3547080018 3806369493 6700040034 7612738986 10050060051 11419108479 20100120102 21569427127 22838216958 24107006789 30150180153 34257325437 43138854254 48214013578 60300360306 64708281381 68514650874 72321020367 129416562762 144642040734 194124844143 216963061101 388249688286 409819115413 433926122202 582374532429 650889183303 819638230826 1164749064858 1229457346239 1301778366606 2458914692478 3688372038717 7376744077434 11065116116151 22130232232302