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22215541421346 = 2372136337917239
BaseRepresentation
bin1010000110100011101010…
…11101000111010100100010
32220122210012021112001021020
411003101311131013110202
510402434412100440341
6115125402343510310
74452006553255200
oct503216535072442
986583167461236
1022215541421346
117095615a79999
1225a962ba58396
13c51bbb90bb80
1456b348cac070
15287d258e8566
hex143475747522

22215541421346 has 96 divisors (see below), whose sum is σ = 55669761141120. Its totient is φ = 5858112927744.

The previous prime is 22215541421323. The next prime is 22215541421347. The reversal of 22215541421346 is 64312414551222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22215541421298 and 22215541421307.

It is not an unprimeable number, because it can be changed into a prime (22215541421347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23761395 + ... + 24678633.

It is an arithmetic number, because the mean of its divisors is an integer number (579893345220).

Almost surely, 222215541421346 is an apocalyptic number.

22215541421346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22215541421346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834880570560).

22215541421346 is an abundant number, since it is smaller than the sum of its proper divisors (33454219719774).

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

22215541421346 is a wasteful number, since it uses less digits than its factorization.

22215541421346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923608 (or 923601 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

Adding to 22215541421346 its reverse (64312414551222), we get a palindrome (86527955972568).

The spelling of 22215541421346 in words is "twenty-two trillion, two hundred fifteen billion, five hundred forty-one million, four hundred twenty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 6337 12674 19011 38022 44359 82381 88718 133077 164762 247143 266154 310513 494286 576667 621026 917239 931539 1153334 1730001 1834478 1863078 2751717 3460002 4036669 5503434 6420673 8073338 11924107 12110007 12841346 19262019 23848214 24220014 35772321 38524038 44944711 71544642 83468749 89889422 134834133 166937498 250406247 269668266 500812494 584281243 1168562486 1752843729 3505687458 5812543543 11625087086 17437630629 34875261258 40687804801 75563066059 81375609602 122063414403 151126132118 226689198177 244126828806 284814633607 453378396354 528941462413 569629267214 854443900821 1057882924826 1586824387239 1708887801642 3173648774478 3702590236891 7405180473782 11107770710673 22215541421346