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223801706193 = 3131272814012
BaseRepresentation
bin1101000001101110011…
…1110000011011010001
3210101200010101122020020
43100123213300123101
512131321214044233
6250451343134053
722112005054302
oct3203347603321
9711603348206
10223801706193
1186a0625736a
123745a8a4329
131814850a9b0
14ab912607a9
155c4cd469b3
hex341b9f06d1

223801706193 has 48 divisors (see below), whose sum is σ = 325851875328. Its totient is φ = 135813888000.

The previous prime is 223801706179. The next prime is 223801706209. The reversal of 223801706193 is 391607108322.

223801706193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223801706193 - 28 = 223801705937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223801786193) 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 47 ways as a sum of consecutive naturals, for example, 558108793 + ... + 558109193.

It is an arithmetic number, because the mean of its divisors is an integer number (6788580736).

Almost surely, 2223801706193 is an apocalyptic number.

It is an amenable number.

223801706193 is a deficient number, since it is larger than the sum of its proper divisors (102050169135).

223801706193 is a wasteful number, since it uses less digits than its factorization.

223801706193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 223801706193 in words is "two hundred twenty-three billion, eight hundred one million, seven hundred six thousand, one hundred ninety-three".

Divisors: 1 3 13 39 127 281 381 401 843 1203 1651 3653 4953 5213 10959 15639 35687 50927 107061 112681 152781 160801 338043 463931 482403 662051 1391793 1464853 1986153 2090413 4394559 6271239 14310487 20421727 42931461 45185081 61265181 135555243 186036331 265482451 558108993 587406053 796447353 1762218159 5738505287 17215515861 74600568731 223801706193