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223213322220201 = 32118040921010921
BaseRepresentation
bin110010110000001011100110…
…110001111011001010101001
31002021022222121012202102122200
4302300023212301323022221
5213224111340442021301
62110422441250410413
765005426131501615
oct6260134661731251
91067288535672580
10223213322220201
11651392692634a5
12210502a1b90a09
139771c064712c1
143d19822300345
151ac145648cc86
hexcb02e6c7b2a9

223213322220201 has 12 divisors (see below), whose sum is σ = 322419531694260. Its totient is φ = 148808748332160.

The previous prime is 223213322220191. The next prime is 223213322220233. The reversal of 223213322220201 is 102022223312322.

223213322220201 is a `hidden beast` number, since 2 + 2 + 3 + 213 + 3 + 22 + 220 + 201 = 666.

223213322220201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 108792305426025 + 114421016794176 = 10430355^2 + 10696776^2 .

It is not a de Polignac number, because 223213322220201 - 237 = 223075883266729 is a prime.

It is a super-3 number, since 3×2232133222202013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223213322420201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118221 + ... + 21129141.

It is an arithmetic number, because the mean of its divisors is an integer number (26868294307855).

Almost surely, 2223213322220201 is an apocalyptic number.

It is an amenable number.

223213322220201 is a deficient number, since it is larger than the sum of its proper divisors (99206209474059).

223213322220201 is a wasteful number, since it uses less digits than its factorization.

223213322220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22191336 (or 22191333 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223213322220201 its reverse (102022223312322), we get a palindrome (325235545532523).

The spelling of 223213322220201 in words is "two hundred twenty-three trillion, two hundred thirteen billion, three hundred twenty-two million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 1180409 3541227 10623681 21010921 63032763 189098289 24801480246689 74404440740067 223213322220201