Search a number
-
+
223218429083819 = 1376140722551209
BaseRepresentation
bin110010110000010000010111…
…001011000100000010101011
31002021100110210010012222112122
4302300100113023010002223
5213224202320321140234
62110425044120301455
765005666522226051
oct6260202713040253
91067313703188478
10223218429083819
1165140449a1a744
122105128831188b
13977253b4a77b0
143d19b8865c1d1
151ac16549a292e
hexcb04172c40ab

223218429083819 has 8 divisors (see below), whose sum is σ = 240389403851520. Its totient is φ = 206047500941376.

The previous prime is 223218429083807. The next prime is 223218429083843. The reversal of 223218429083819 is 918380924812322.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223218429083819 is a prime.

It is a super-3 number, since 3×2232184290838193 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223218429683819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1377314 + ... + 21173895.

It is an arithmetic number, because the mean of its divisors is an integer number (30048675481440).

Almost surely, 2223218429083819 is an apocalyptic number.

223218429083819 is a deficient number, since it is larger than the sum of its proper divisors (17170974767701).

223218429083819 is a wasteful number, since it uses less digits than its factorization.

223218429083819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312629.

The product of its (nonzero) digits is 23887872, while the sum is 62.

The spelling of 223218429083819 in words is "two hundred twenty-three trillion, two hundred eighteen billion, four hundred twenty-nine million, eighty-three thousand, eight hundred nineteen".

Divisors: 1 13 761407 9898291 22551209 293165717 17170648391063 223218429083819