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2223022220133 = 31113171327229703
BaseRepresentation
bin100000010110010110011…
…100110010001101100101
321212112000020111111100020
4200112112130302031211
5242410222142021013
64421124201105353
7316415364045261
oct40262634621545
97775006444306
102223022220133
117878620a87a0
122baa05788259
131318264224c0
14798483a50a1
153cc5c6a0623
hex20596732365

2223022220133 has 64 divisors (see below), whose sum is σ = 3689847447552. Its totient is φ = 1169605831680.

The previous prime is 2223022220119. The next prime is 2223022220171. The reversal of 2223022220133 is 3310222203222.

It is not a de Polignac number, because 2223022220133 - 28 = 2223022219877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223022220113) 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 63 ways as a sum of consecutive naturals, for example, 9562960 + ... + 9792662.

It is an arithmetic number, because the mean of its divisors is an integer number (57653866368).

Almost surely, 22223022220133 is an apocalyptic number.

It is an amenable number.

2223022220133 is a deficient number, since it is larger than the sum of its proper divisors (1466825227419).

2223022220133 is a wasteful number, since it uses less digits than its factorization.

2223022220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231074.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2223022220133 its reverse (3310222203222), we get a palindrome (5533244423355).

It can be divided in two parts, 2223022 and 220133, that added together give a triangular number (2443155 = T2210).

The spelling of 2223022220133 in words is "two trillion, two hundred twenty-three billion, twenty-two million, two hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 561 663 1327 2431 3981 7293 14597 17251 22559 43791 51753 67677 189761 229703 248149 293267 569283 689109 744447 879801 2526733 2986139 3225937 3904951 7580199 8958417 9677811 11714853 32847529 42954461 50764363 98542587 128863383 152293089 304815881 558407993 914447643 1675223979 3352974691 3962606453 5181869977 10058924073 11887819359 15545609931 43588670983 57000569747 67364309701 130766012949 171001709241 202092929103 741007406711 2223022220133