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223112212220320 = 2551394451326377
BaseRepresentation
bin110010101110101101011100…
…001001111000100110100000
31002020222022121200110020211021
4302232231130021320212200
5213220432302312022240
62110304200232255224
764665216415621063
oct6256553411704640
91066868550406737
10223112212220320
11650aa3a3303025
1221034784541514
1397655119bc3c7
143d1498da9a8da
151abd9d9a9454a
hexcaeb5c2789a0

223112212220320 has 24 divisors (see below), whose sum is σ = 527102601370884. Its totient is φ = 89244884888064.

The previous prime is 223112212220291. The next prime is 223112212220393. The reversal of 223112212220320 is 23022212211322.

It can be written as a sum of positive squares in 2 ways, for example, as 203753584995984 + 19358627224336 = 14274228^2 + 4399844^2 .

It is a super-3 number, since 3×2231122122203203 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 697225663029 + ... + 697225663348.

Almost surely, 2223112212220320 is an apocalyptic number.

223112212220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223112212220320 is an abundant number, since it is smaller than the sum of its proper divisors (303990389150564).

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

223112212220320 is a wasteful number, since it uses less digits than its factorization.

223112212220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394451326392 (or 1394451326384 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 223112212220320 its reverse (23022212211322), we get a palindrome (246134424431642).

The spelling of 223112212220320 in words is "two hundred twenty-three trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1394451326377 2788902652754 5577805305508 6972256631885 11155610611016 13944513263770 22311221222032 27889026527540 44622442444064 55778053055080 111556106110160 223112212220320