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22014434140212 = 22323296577418189
BaseRepresentation
bin1010000000101101000101…
…00001101110000000110100
32212221120002202200122121110
411000112202201232000310
510341141030114441322
6114453142540515020
74431330125501253
oct500264241560064
985846082618543
1022014434140212
1170182a6180018
12257666554ba70
13c38c4c08cb77
1456170bb1479a
152829a5150c0c
hex1405a286e034

22014434140212 has 96 divisors (see below), whose sum is σ = 55457213011200. Its totient is φ = 6776010565632.

The previous prime is 22014434140207. The next prime is 22014434140253. The reversal of 22014434140212 is 21204143441022.

It is a self number, because there is not a number n which added to its sum of digits gives 22014434140212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52433214 + ... + 52851402.

It is an arithmetic number, because the mean of its divisors is an integer number (577679302200).

Almost surely, 222014434140212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22014434140212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27728606505600).

22014434140212 is an abundant number, since it is smaller than the sum of its proper divisors (33442778870988).

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

22014434140212 is a wasteful number, since it uses less digits than its factorization.

22014434140212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424825 (or 424823 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 22014434140212 its reverse (21204143441022), we get a palindrome (43218577581234).

The spelling of 22014434140212 in words is "twenty-two trillion, fourteen billion, four hundred thirty-four million, one hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 6577 8004 13154 19731 26308 39462 78924 151271 190733 302542 381466 418189 453813 572199 605084 762932 836378 907626 1144398 1254567 1672756 1815252 2288796 2509134 4386859 5018268 8773718 9618347 12127481 13160577 17547436 19236694 24254962 26321154 28855041 36382443 38473388 48509924 52642308 57710082 72764886 115420164 145529772 278932063 557864126 836796189 1115728252 1673592378 2750429053 3347184756 5500858106 8251287159 11001716212 16502574318 33005148636 63259868219 79762442537 126519736438 159524885074 189779604657 239287327611 253039472876 319049770148 379559209314 478574655222 759118418628 957149310444 1834536178351 3669072356702 5503608535053 7338144713404 11007217070106 22014434140212