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223120213120200 = 2335211257411313317
BaseRepresentation
bin110010101110110100111001…
…000010111001010011001000
31002021000002021021120002010110
4302232310321002321103020
5213221100144024321300
62110312002203314320
764665621610266564
oct6256647102712310
91067002237502113
10223120213120200
1165102829635580
1221036237b1b9a0
1397661b8488ca6
143d1510c51a6a4
151abdd071bb550
hexcaed390b94c8

223120213120200 has 192 divisors, whose sum is σ = 754581881257920. Its totient is φ = 54087606144000.

The previous prime is 223120213120157. The next prime is 223120213120237. The reversal of 223120213120200 is 2021312021322.

It is a super-3 number, since 3×2231202131202003 (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 47 ways as a sum of consecutive naturals, for example, 169233942 + ... + 170547258.

It is an arithmetic number, because the mean of its divisors is an integer number (3930113964885).

Almost surely, 2223120213120200 is an apocalyptic number.

223120213120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223120213120200 is an abundant number, since it is smaller than the sum of its proper divisors (531461668137720).

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

223120213120200 is a wasteful number, since it uses less digits than its factorization.

223120213120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339088 (or 1339079 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 223120213120200 its reverse (2021312021322), we get a palindrome (225141525141522).

The spelling of 223120213120200 in words is "two hundred twenty-three trillion, one hundred twenty billion, two hundred thirteen million, one hundred twenty thousand, two hundred".