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22466104036230 = 23523643194925981
BaseRepresentation
bin1010001101110110011000…
…01001101000101110000110
32221112201221102021200220210
411012323030021220232012
510421041040113124410
6115440441414140250
74506060000326451
oct506731411505606
987481842250823
1022466104036230
117181904047018
12262a0b8951686
13c6c71040707a
145795182d4498
1528e5dcce8220
hex146ecc268b86

22466104036230 has 128 divisors (see below), whose sum is σ = 56381521996800. Its totient is φ = 5718416647680.

The previous prime is 22466104036153. The next prime is 22466104036273. The reversal of 22466104036230 is 3263040166422.

It is a super-2 number, since 2×224661040362302 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864699840 + ... + 864725820.

It is an arithmetic number, because the mean of its divisors is an integer number (440480640600).

Almost surely, 222466104036230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22466104036230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28190760998400).

22466104036230 is an abundant number, since it is smaller than the sum of its proper divisors (33915417960570).

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

22466104036230 is a wasteful number, since it uses less digits than its factorization.

22466104036230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28606.

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 22466104036230 in words is "twenty-two trillion, four hundred sixty-six billion, one hundred four million, thirty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 643 690 1286 1929 1949 3215 3858 3898 5847 6430 9645 9745 11694 14789 19290 19490 25981 29235 29578 44367 44827 51962 58470 73945 77943 88734 89654 129905 134481 147890 155886 221835 224135 259810 268962 389715 443670 448270 597563 672405 779430 1195126 1253207 1344810 1792689 2506414 2987815 3585378 3759621 5975630 6266035 7519242 8963445 12532070 16705783 17926890 18798105 28823761 33411566 37596210 50117349 50636969 57647522 83528915 86471283 100234698 101273938 144118805 151910907 167057830 172942566 250586745 253184845 288237610 303821814 384233009 432356415 501173490 506369690 759554535 768466018 864712830 1152699027 1164650287 1519109070 1921165045 2305398054 2329300574 3493950861 3842330090 5763495135 5823251435 6987901722 11526990270 11646502870 17469754305 32559571067 34939508610 65119142134 97678713201 162797855335 195357426402 325595710670 488393566005 748870134541 976787132010 1497740269082 2246610403623 3744350672705 4493220807246 7488701345410 11233052018115 22466104036230