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224223141322422 = 2321121937146442533
BaseRepresentation
bin110010111110111000000100…
…101100000101111010110110
31002101220112010020112221011100
4302332320010230011322312
5213342132443134304142
62112514404502350530
765141405316315054
oct6276700454057266
91071815106487140
10224223141322422
1165498555878200
1221193b4442b446
1398161c7aca8a8
143d5265a85b1d4
151adc859c7cb4c
hexcbee04b05eb6

224223141322422 has 144 divisors (see below), whose sum is σ = 577294042132080. Its totient is φ = 62630542085760.

The previous prime is 224223141322391. The next prime is 224223141322429.

It is a happy number.

224223141322422 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 231 + 413 + 2 + 2 + 4 + 2 + 2 = 666.

224223141322422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224223141322429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71690133 + ... + 74752400.

It is an arithmetic number, because the mean of its divisors is an integer number (4008986403695).

Almost surely, 2224223141322422 is an apocalyptic number.

224223141322422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

224223141322422 is an abundant number, since it is smaller than the sum of its proper divisors (353070900809658).

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

224223141322422 is a wasteful number, since it uses less digits than its factorization.

224223141322422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146442619 (or 146442605 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 224223141322422 in words is "two hundred twenty-four trillion, two hundred twenty-three billion, one hundred forty-one million, three hundred twenty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 37 38 57 66 74 99 111 114 121 171 198 209 222 242 333 342 363 407 418 627 666 703 726 814 1089 1221 1254 1406 1881 2109 2178 2299 2442 3663 3762 4218 4477 4598 6327 6897 7326 7733 8954 12654 13431 13794 15466 20691 23199 26862 40293 41382 46398 69597 80586 85063 139194 170126 255189 510378 765567 1531134 146442533 292885066 439327599 878655198 1317982797 1610867863 2635965594 2782408127 3221735726 4832603589 5418373721 5564816254 8347224381 9665207178 10836747442 14497810767 16255121163 16694448762 17719546493 25041673143 28995621534 30606489397 32510242326 35439092986 48765363489 50083346286 53158639479 59602110931 61212978794 91819468191 97530726978 102949100699 106317278958 119204221862 159475918437 178806332793 183638936382 205898201398 275458404573 308847302097 318951836874 336671383367 357612665586 536418998379 550916809146 617694604194 655623220241 673342766734 926541906291 1010014150101 1072837996758 1132440107689 1311246440482 1853083812582 1966869660723 2020028300202 2264880215378 3030042450303 3397320323067 3933739321446 5900608982169 6060084900606 6794640646134 10191960969201 11801217964338 12456841184579 20383921938402 24913682369158 37370523553737 74741047107474 112111570661211 224223141322422