Search a number
-
+
22220201002434 = 231719232711183881
BaseRepresentation
bin1010000110101100010110…
…01100000000010111000010
32220200020020000100021212120
411003112023030000113002
510403023432424034214
6115131452554505110
74452233203121541
oct503261314002702
986606200307776
1022220201002434
117097597206156
1225aa510435196
13c5248208a546
1456b66ba78158
15287ee9a09ea9
hex14358b3005c2

22220201002434 has 128 divisors (see below), whose sum is σ = 51703970181120. Its totient is φ = 6314645145600.

The previous prime is 22220201002421. The next prime is 22220201002463. The reversal of 22220201002434 is 43420010202222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120748174 + ... + 120932054.

It is an arithmetic number, because the mean of its divisors is an integer number (403937267040).

Almost surely, 222220201002434 is an apocalyptic number.

22220201002434 is an abundant number, since it is smaller than the sum of its proper divisors (29483769178686).

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

22220201002434 is a wasteful number, since it uses less digits than its factorization.

22220201002434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186656.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22220201002434 its reverse (43420010202222), we get a palindrome (65640211204656).

The spelling of 22220201002434 in words is "twenty-two trillion, two hundred twenty billion, two hundred one million, two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 17 19 23 34 38 46 51 57 69 102 114 138 323 391 437 646 782 874 969 1173 1311 1938 2346 2622 2711 5422 7429 8133 14858 16266 22287 44574 46087 51509 62353 92174 103018 124706 138261 154527 183881 187059 276522 309054 367762 374118 551643 875653 1060001 1103286 1184707 1751306 2120002 2369414 2626959 3125977 3180003 3493739 3554121 4229263 5253918 6251954 6360006 6987478 7108242 8458526 9377931 10481217 12687789 18755862 20140019 20962434 25375578 40280038 59393563 60420057 71897471 80355997 118787126 120840114 143794942 160711994 178180689 215692413 241067991 356361378 431384826 482135982 498501391 997002782 1366051949 1495504173 2732103898 2991008346 4098155847 8196311694 8474523647 9471526429 11465531993 16949047294 18943052858 22931063986 25423570941 28414579287 34396595979 50847141882 56829158574 68793191958 161015949293 194914043881 217845107867 322031898586 389828087762 435690215734 483047847879 584742131643 653535323601 966095695758 1169484263286 1307070647202 3703366833739 7406733667478 11110100501217 22220201002434