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214240633237 = 2576411300501
BaseRepresentation
bin1100011110000110111…
…1001010000110010101
3202110222210112210211001
43013201233022012111
512002231100230422
6242230520143301
721323040223111
oct3074157120625
9673883483731
10214240633237
118294a285784
1235630907b31
1317283741187
14a525516741
15588d78b227
hex31e1bca195

214240633237 has 8 divisors (see below), whose sum is σ = 215409949272. Its totient is φ = 213073920000.

The previous prime is 214240633231. The next prime is 214240633249. The reversal of 214240633237 is 732336042412.

214240633237 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 120168995716 + 94071637521 = 346654^2 + 306711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214240633237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214240633196 and 214240633205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214240633231) 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 7 ways as a sum of consecutive naturals, for example, 485514 + ... + 814987.

It is an arithmetic number, because the mean of its divisors is an integer number (26926243659).

Almost surely, 2214240633237 is an apocalyptic number.

It is an amenable number.

214240633237 is a deficient number, since it is larger than the sum of its proper divisors (1169316035).

214240633237 is a wasteful number, since it uses less digits than its factorization.

214240633237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301399.

The product of its (nonzero) digits is 145152, while the sum is 37.

Adding to 214240633237 its reverse (732336042412), we get a palindrome (946576675649).

The spelling of 214240633237 in words is "two hundred fourteen billion, two hundred forty million, six hundred thirty-three thousand, two hundred thirty-seven".

Divisors: 1 257 641 164737 1300501 334228757 833621141 214240633237