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22332684708009 = 341362392
BaseRepresentation
bin1010001001111101110111…
…01111010010100010101001
32221001222120012021120210000
411010332323233102202221
510411344314241124014
6115255254351013213
74463324513624244
oct504767357224251
987058505246700
1022332684708009
11713026933aaa5
122608282b0a209
13c5cc6a000000
14572c9ca6a25b
1528adcebb0509
hex144fbbbd28a9

22332684708009 has 105 divisors (see below), whose sum is σ = 36293119398283. Its totient is φ = 13685687700048.

The previous prime is 22332684707987. The next prime is 22332684708029. The reversal of 22332684708009 is 90080748623322.

The square root of 22332684708009 is 4725747.

It is a perfect power (a square), and thus also a powerful number.

22332684708009 is a `hidden beast` number, since 2 + 2 + 3 + 32 + 68 + 470 + 80 + 0 + 9 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19160623971225 + 3172060736784 = 4377285^2 + 1781028^2 .

It is not a de Polignac number, because 22332684708009 - 219 = 22332684183721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22332684708029) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 93442195312 + ... + 93442195550.

Almost surely, 222332684708009 is an apocalyptic number.

22332684708009 is the 4725747-th square number.

22332684708009 is the 2362874-th centered octagonal number.

It is an amenable number.

22332684708009 is a deficient number, since it is larger than the sum of its proper divisors (13960434690274).

22332684708009 is an frugal number, since it uses more digits than its factorization.

22332684708009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 22332684708009 in words is "twenty-two trillion, three hundred thirty-two billion, six hundred eighty-four million, seven hundred eight thousand, nine".

Divisors: 1 3 9 13 27 39 81 117 169 239 351 507 717 1053 1521 2151 2197 3107 4563 6453 6591 9321 13689 19359 19773 27963 28561 40391 57121 59319 83889 85683 121173 171363 177957 251667 257049 363519 371293 514089 525083 742573 771147 1090557 1113879 1542267 1575249 2227719 2313441 3271671 3341637 4626801 4725747 4826809 6683157 6826079 9653449 10024911 14177241 14480427 20049471 20478237 28960347 30074733 42531723 43441281 60148413 61434711 86881041 88739027 125494837 130323843 184304133 260643123 266217081 376484511 390971529 552912399 781929369 798651243 1129453533 1153607351 1631432881 2395953729 3388360599 3460822053 4894298643 7187861187 10165081797 10382466159 14682895929 21208627453 31147398477 44048687787 63625882359 93442195431 132146063361 190877647077 275712156889 572632941231 827136470667 1717898823693 2481409412001 7444228236003 22332684708009