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22332130000002 = 23419281109323623
BaseRepresentation
bin1010001001111100110101…
…01011001111110010000010
32221001221010112111111110000
411010332122223033302002
510411342200240000002
6115255123333420430
74463304666653604
oct504763253176202
987057115444400
1022332130000002
117130004207729
12260814919a716
13c5cbac101914
14572c49113174
1528ad9b13c61c
hex144f9aacfc82

22332130000002 has 160 divisors (see below), whose sum is σ = 52912281121920. Its totient is φ = 7020428163840.

The previous prime is 22332129999973. The next prime is 22332130000039. The reversal of 22332130000002 is 20000003123322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 22332130000002.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 945343563 + ... + 945367185.

It is an arithmetic number, because the mean of its divisors is an integer number (330701757012).

Almost surely, 222332130000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22332130000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456140560960).

22332130000002 is an abundant number, since it is smaller than the sum of its proper divisors (30580151121918).

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

22332130000002 is a wasteful number, since it uses less digits than its factorization.

22332130000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25030 (or 25021 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22332130000002 its reverse (20000003123322), we get a palindrome (42332133123324).

The spelling of 22332130000002 in words is "twenty-two trillion, three hundred thirty-two billion, one hundred thirty million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 281 342 513 562 843 1026 1093 1539 1686 2186 2529 3078 3279 5058 5339 6558 7587 9837 10678 15174 16017 19674 20767 22761 23623 29511 32034 41534 45522 47246 48051 59022 62301 70869 88533 96102 124602 141738 144153 177066 186903 212607 288306 307133 373806 425214 432459 448837 560709 614266 637821 864918 897674 921399 1121418 1275642 1346511 1682127 1842798 1913463 2693022 2764197 3364254 3826926 4039533 5528394 5835527 6638063 8079066 8292591 11671054 12118599 13276126 16585182 17506581 19914189 24237198 24877773 25819939 35013162 36355797 39828378 49755546 51639878 52519743 59742567 72711594 77459817 105039486 119485134 126123197 154919634 157559229 179227701 232379451 252246394 315118458 358455402 378369591 464758902 472677687 490578841 537683103 697138353 756739182 945355374 981157682 1075366206 1135108773 1394276706 1471736523 2091415059 2270217546 2943473046 3405326319 4182830118 4415209569 6810652638 7255402859 8830419138 10215978957 13245628707 14510805718 20431957914 21766208577 26491257414 39736886121 43532417154 65298625731 79473772242 130597251462 137852654321 195895877193 275705308642 391791754386 413557962963 587687631579 827115925926 1175375263158 1240673888889 2481347777778 3722021666667 7444043333334 11166065000001 22332130000002