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20322205344 = 253471120051
BaseRepresentation
bin10010111011010011…
…000011111010100000
31221110021210222220000
4102323103003322200
5313104441032334
613200315220000
71316413616040
oct227323037240
957407728800
1020322205344
11868939a731
123b31a47600
131bbb37b89c
14daadd9720
157de1b4299
hex4bb4c3ea0

20322205344 has 120 divisors (see below), whose sum is σ = 68305251168. Its totient is φ = 5806339200.

The previous prime is 20322205339. The next prime is 20322205367. The reversal of 20322205344 is 44350222302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 541882 + ... + 578169.

Almost surely, 220322205344 is an apocalyptic number.

20322205344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20322205344 is an abundant number, since it is smaller than the sum of its proper divisors (47983045824).

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

20322205344 is a wasteful number, since it uses less digits than its factorization.

20322205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120080 (or 1120063 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 20322205344 its reverse (44350222302), we get a palindrome (64672427646).

The spelling of 20322205344 in words is "twenty billion, three hundred twenty-two million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 1120051 2240102 3360153 4480204 6720306 7840357 8960408 10080459 13440612 15680714 17920816 20160918 23521071 26881224 30241377 31361428 35841632 40321836 47042142 53762448 60482754 62722856 70563213 80643672 90724131 94084284 107524896 120965508 125445712 141126426 161287344 181448262 188168568 211689639 241931016 250891424 282252852 322574688 362896524 376337136 423379278 483862032 564505704 635068917 725793048 752674272 846758556 967724064 1129011408 1270137834 1451586096 1693517112 2258022816 2540275668 2903172192 3387034224 5080551336 6774068448 10161102672 20322205344