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223200310013330 = 251323130809138283
BaseRepresentation
bin110010101111111111011111…
…001100010010110110010010
31002021021202000100222211111212
4302233333133030102312102
5213223403213330411310
62110412450141540122
765004455516533466
oct6257773714226622
91067252010884455
10223200310013330
11651337a1200921
1221049870274642
1397709116b7400
143d18d4a0b84a6
151ac0e43e29205
hexcaffdf312d92

223200310013330 has 96 divisors (see below), whose sum is σ = 449093950456320. Its totient is φ = 79750791544320.

The previous prime is 223200310013323. The next prime is 223200310013357. The reversal of 223200310013330 is 33310013002322.

It is a super-3 number, since 3×2232003100133303 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223200310013296 and 223200310013305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1614014369 + ... + 1614152651.

It is an arithmetic number, because the mean of its divisors is an integer number (4678061983920).

Almost surely, 2223200310013330 is an apocalyptic number.

223200310013330 is an abundant number, since it is smaller than the sum of its proper divisors (225893640442990).

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

223200310013330 is a wasteful number, since it uses less digits than its factorization.

223200310013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169156 (or 169143 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 223200310013330 its reverse (33310013002322), we get a palindrome (256510323015652).

The spelling of 223200310013330 in words is "two hundred twenty-three trillion, two hundred billion, three hundred ten million, thirteen thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 31 62 65 130 155 169 310 338 403 806 845 1690 2015 4030 5239 10478 26195 30809 52390 61618 138283 154045 276566 308090 400517 691415 801034 955079 1382830 1797679 1910158 2002585 3595358 4005170 4286773 4775395 5206721 8573546 8988395 9550790 10413442 12416027 17976790 21433865 23369827 24832054 26033605 42867730 46739654 52067210 55728049 62080135 111456098 116849135 124160270 161408351 233698270 278640245 322816702 557280490 724464637 807041755 1448929274 1614083510 3622323185 4260360947 7244646370 8520721894 21301804735 42603609470 55384692311 110769384622 132071189357 264142378714 276923461555 553846923110 660355946785 720001000043 1320711893570 1440002000086 1716925461641 3433850923282 3600005000215 7200010000430 8584627308205 17169254616410 22320031001333 44640062002666 111600155006665 223200310013330