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213274238814 = 23472134743973
BaseRepresentation
bin1100011010100000100…
…0101001111101011110
3202101111110002212220000
43012220020221331132
511443241201120224
6241550555035130
721260064055500
oct3065010517536
9671443085800
10213274238814
11824a38252aa
123540113baa6
131715b46c160
14a473035d70
1558339e70c9
hex31a8229f5e

213274238814 has 240 divisors, whose sum is σ = 611429974848. Its totient is φ = 55050129792.

The previous prime is 213274238777. The next prime is 213274238833. The reversal of 213274238814 is 418832472312.

213274238814 is a `hidden beast` number, since 2 + 132 + 7 + 423 + 88 + 14 = 666.

213274238814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132742388142 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213274238814.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 4828132 + ... + 4872104.

Almost surely, 2213274238814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213274238814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305714987424).

213274238814 is an abundant number, since it is smaller than the sum of its proper divisors (398155736034).

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

213274238814 is a wasteful number, since it uses less digits than its factorization.

213274238814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44061 (or 44045 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 213274238814 in words is "two hundred thirteen billion, two hundred seventy-four million, two hundred thirty-eight thousand, eight hundred fourteen".