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212333414214340 = 22529366092093473
BaseRepresentation
bin110000010001110110111001…
…101110100110101011000100
31000211210212122201101011002001
4300101312321232212223010
5210312332313014324330
62031332342431155044
762503403642360206
oct6021667156465304
91024725581334061
10212333414214340
1161724105892221
121b99377a975a84
139162c55304113
143a60dc63ba776
15198342cdab9ca
hexc11db9ba6ac4

212333414214340 has 24 divisors (see below), whose sum is σ = 461276037777240. Its totient is φ = 82004628937728.

The previous prime is 212333414214323. The next prime is 212333414214401. The reversal of 212333414214340 is 43412414333212.

212333414214340 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 4 ways, for example, as 19548353507904 + 192785060706436 = 4421352^2 + 13884706^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212333414214340.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183046046157 + ... + 183046047316.

It is an arithmetic number, because the mean of its divisors is an integer number (19219834907385).

Almost surely, 2212333414214340 is an apocalyptic number.

212333414214340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212333414214340 is an abundant number, since it is smaller than the sum of its proper divisors (248942623562900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212333414214340 is a wasteful number, since it uses less digits than its factorization.

212333414214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366092093511 (or 366092093509 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 212333414214340 its reverse (43412414333212), we get a palindrome (255745828547552).

The spelling of 212333414214340 in words is "two hundred twelve trillion, three hundred thirty-three billion, four hundred fourteen million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 366092093473 732184186946 1464368373892 1830460467365 3660920934730 7321841869460 10616670710717 21233341421434 42466682842868 53083353553585 106166707107170 212333414214340