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2214523444365 = 325113641679409
BaseRepresentation
bin100000001110011011111…
…000100001110010001101
321211201001221112221201100
4200032123320201302031
5242240321000204430
64413201002533313
7315664645460331
oct40163370416215
97751057487640
102214523444365
117841a082a771
122b9233507239
13130aa07655bb
147927d7837c1
153c9114ce960
hex2039be21c8d

2214523444365 has 48 divisors (see below), whose sum is σ = 3878523408240. Its totient is φ = 1168799170560.

The previous prime is 2214523444361. The next prime is 2214523444381. The reversal of 2214523444365 is 5634443254122.

2214523444365 is a `hidden beast` number, since 2 + 2 + 14 + 5 + 234 + 44 + 365 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 237220624809 + 1977302819556 = 487053^2 + 1406166^2 .

It is not a de Polignac number, because 2214523444365 - 22 = 2214523444361 is a prime.

It is a super-2 number, since 2×22145234443652 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2214523444365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214523444361) 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, 2919781 + ... + 3599189.

It is an arithmetic number, because the mean of its divisors is an integer number (80802571005).

Almost surely, 22214523444365 is an apocalyptic number.

It is an amenable number.

2214523444365 is a deficient number, since it is larger than the sum of its proper divisors (1663999963875).

2214523444365 is a wasteful number, since it uses less digits than its factorization.

2214523444365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680174 (or 680171 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 2214523444365 its reverse (5634443254122), we get a palindrome (7848966698487).

The spelling of 2214523444365 in words is "two trillion, two hundred fourteen billion, five hundred twenty-three million, four hundred forty-four thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 113 339 565 641 1017 1695 1923 3205 5085 5769 9615 28845 72433 217299 362165 651897 679409 1086495 2038227 3259485 3397045 6114681 10191135 30573405 76773217 230319651 383866085 435501169 690958953 1151598255 1306503507 2177505845 3454794765 3919510521 6532517535 19597552605 49211632097 147634896291 246058160485 442904688873 738174481455 2214523444365