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13223030220 = 2233567365479
BaseRepresentation
bin11000101000010011…
…10110110111001100
31021010112110112102000
430110021312313030
5204040043431340
610024035232300
7645451621341
oct142411666714
937115415360
1013223030220
115676068354
122690448690
13132966074a
148d62247c8
15525d09d30
hex314276dcc

13223030220 has 96 divisors (see below), whose sum is σ = 41752435200. Its totient is φ = 3473502912.

The previous prime is 13223030213. The next prime is 13223030231. The reversal of 13223030220 is 2203032231.

It is a happy number.

13223030220 is a `hidden beast` number, since 132 + 230 + 302 + 2 + 0 = 666.

13223030220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13223030193 and 13223030202.

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 31 ways as a sum of consecutive naturals, for example, 146560 + ... + 218919.

It is an arithmetic number, because the mean of its divisors is an integer number (434921200).

Almost surely, 213223030220 is an apocalyptic number.

13223030220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13223030220 is an abundant number, since it is smaller than the sum of its proper divisors (28529404980).

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

13223030220 is a wasteful number, since it uses less digits than its factorization.

13223030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365564 (or 365556 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13223030220 its reverse (2203032231), we get a palindrome (15426062451).

The spelling of 13223030220 in words is "thirteen billion, two hundred twenty-three million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 12060 18090 36180 365479 730958 1096437 1461916 1827395 2192874 3289311 3654790 4385748 5482185 6578622 7309580 9867933 10964370 13157244 16446555 19735866 21928740 24487093 32893110 39471732 48974186 49339665 65786220 73461279 97948372 98679330 122435465 146922558 197358660 220383837 244870930 293845116 367306395 440767674 489741860 661151511 734612790 881535348 1101919185 1322303022 1469225580 2203838370 2644606044 3305757555 4407676740 6611515110 13223030220