Search a number
-
+
22202124141114 = 23241432417289463
BaseRepresentation
bin1010000110001010101011…
…01110010000001000111010
32220121111120012112120221100
411003011111232100020322
510402224422240003424
6115115303124552230
74451023222255131
oct503052556201072
986544505476840
1022202124141114
11708a9602a6745
1225a6b06552676
13c50860c583b8
1456a834d60918
152877dca1cdc9
hex143155b9023a

22202124141114 has 96 divisors (see below), whose sum is σ = 50444919068544. Its totient is φ = 7049349135360.

The previous prime is 22202124141091. The next prime is 22202124141137. The reversal of 22202124141114 is 41114142120222.

22202124141114 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 2 + 1 + 241 + 411 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22202124141091) and next prime (22202124141137).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76556347 + ... + 76845809.

It is an arithmetic number, because the mean of its divisors is an integer number (525467906964).

Almost surely, 222202124141114 is an apocalyptic number.

22202124141114 is an abundant number, since it is smaller than the sum of its proper divisors (28242794927430).

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

22202124141114 is a wasteful number, since it uses less digits than its factorization.

22202124141114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291972 (or 291969 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 22202124141114 its reverse (41114142120222), we get a palindrome (63316266261336).

The spelling of 22202124141114 in words is "twenty-two trillion, two hundred two billion, one hundred twenty-four million, one hundred forty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 41 43 82 86 123 129 246 258 369 387 738 774 1763 2417 3526 4834 5289 7251 10578 14502 15867 21753 31734 43506 99097 103931 198194 207862 289463 297291 311793 578926 594582 623586 868389 891873 935379 1736778 1783746 1870758 2605167 4261171 5210334 8522342 11867983 12446909 12783513 23735966 24893818 25567026 35603949 37340727 38350539 71207898 74681454 76701078 106811847 112022181 213623694 224044362 510323269 699632071 1020646538 1399264142 1530969807 2098896213 3061939614 4197792426 4592909421 6296688639 9185818842 12593377278 28684914911 30084179053 57369829822 60168358106 86054744733 90252537159 172109489466 180505074318 258164234199 270757611477 516328468398 541515222954 1233451341173 2466902682346 3700354023519 7400708047038 11101062070557 22202124141114