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22530645613242 = 23413312711273457
BaseRepresentation
bin1010001111101110100110…
…01000001101101010111010
32221202220112102122112010000
411013313103020031222322
510423120230234110432
6115530234040133430
74513533254561454
oct507672310155272
987686472575100
1022530645613242
1171a7214092108
12263a70b767276
13c75827a37320
1457c6bbdd72d4
152911190ed57c
hex147dd320daba

22530645613242 has 160 divisors (see below), whose sum is σ = 56329794791424. Its totient is φ = 6684115852800.

The previous prime is 22530645613237. The next prime is 22530645613253. The reversal of 22530645613242 is 24231654603522.

22530645613242 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 0 + 6 + 4 + 5 + 613 + 24 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17055778 + ... + 18329234.

Almost surely, 222530645613242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22530645613242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28164897395712).

22530645613242 is an abundant number, since it is smaller than the sum of its proper divisors (33799149178182).

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

22530645613242 is a wasteful number, since it uses less digits than its factorization.

22530645613242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273786 (or 1273777 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 22530645613242 in words is "twenty-two trillion, five hundred thirty billion, six hundred forty-five million, six hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 271 279 351 403 542 558 702 806 813 837 1053 1209 1626 1674 2106 2418 2439 2511 3523 3627 4878 5022 7046 7254 7317 8401 10569 10881 14634 16802 21138 21762 21951 25203 31707 32643 43902 50406 63414 65286 75609 95121 109213 151218 190242 218426 226827 285363 327639 453654 570726 655278 680481 982917 1273457 1360962 1965834 2546914 2948751 3820371 5897502 7640742 8846253 11461113 16554941 17692506 22922226 33109882 34383339 39477167 49664823 68766678 78954334 99329646 103150017 118431501 148994469 206300034 236863002 297988938 345106847 355294503 446983407 513203171 690213694 710589006 893966814 1026406342 1035320541 1065883509 1340950221 1539609513 2070641082 2131767018 2681900442 3079219026 3105961623 3197650527 4486389011 4618828539 6211923246 6395301054 8972778022 9237657078 9317884869 10698312257 13459167033 13856485617 18635769738 21396624514 26918334066 27712971234 27953654607 32094936771 40377501099 41569456851 55907309214 64189873542 80755002198 83138913702 96284810313 121132503297 139078059341 192569620626 242265006594 278156118682 288854430939 363397509891 417234178023 577708861878 726795019782 834468356046 866563292817 1251702534069 1733126585634 2503405068138 3755107602207 7510215204414 11265322806621 22530645613242