Search a number
-
+
22204030434003 = 32111956938775351
BaseRepresentation
bin1010000110001110001110…
…10110001011101011010011
32220121200111001120022011200
411003013013112023223103
510402242323242342003
6115120220223242243
74451121400424265
oct503070726135323
986550431508150
1022204030434003
11709074935a810
1225a7358a49383
13c50aa5b83362
1456a9761c5b35
152878a00706a3
hex1431c758bad3

22204030434003 has 96 divisors (see below), whose sum is σ = 36910791590400. Its totient is φ = 12720659904000.

The previous prime is 22204030433987. The next prime is 22204030434043. The reversal of 22204030434003 is 30043403040222.

22204030434003 is a `hidden beast` number, since 2 + 220 + 4 + 0 + 3 + 0 + 434 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 22204030434003 - 24 = 22204030433987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22204030434043) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4149507778 + ... + 4149513128.

It is an arithmetic number, because the mean of its divisors is an integer number (384487412400).

Almost surely, 222204030434003 is an apocalyptic number.

22204030434003 is a deficient number, since it is larger than the sum of its proper divisors (14706761156397).

22204030434003 is a wasteful number, since it uses less digits than its factorization.

22204030434003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 22204030434003 its reverse (30043403040222), we get a palindrome (52247433474225).

The spelling of 22204030434003 in words is "twenty-two trillion, two hundred four billion, thirty million, four hundred thirty-four thousand, three".

Divisors: 1 3 9 11 19 33 57 99 171 209 569 627 1707 1881 3877 5121 5351 6259 10811 11631 16053 18777 32433 34893 42647 48159 56331 58861 73663 97299 101669 118921 127941 176583 220989 305007 356763 383823 529749 662967 810293 915021 1070289 1118359 2206013 2430879 3044719 3355077 6618039 7292637 9134157 10065231 19854117 20745827 24266143 27402471 33491909 41914247 57849661 62237481 72798429 100475727 125742741 173548983 186712443 218395287 228204097 301427181 377228223 394170713 461056717 520646949 636346271 684612291 1182512139 1383170151 1909038813 2053836873 3547536417 4149510453 4335877843 5727116439 11804375563 13007633529 35413126689 39022900587 106239380067 129848131193 224283135697 389544393579 672849407091 1168633180737 2018548221273 2467114492667 7401343478001 22204030434003