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221412500213757 = 32412149114249749
BaseRepresentation
bin110010010101111110011101…
…011011001000111111111101
31002000221211100211110000022220
4302111332131123020333331
5213010110300023320012
62102523255353155553
764431345106140366
oct6225763533107775
91060854324400286
10221412500213757
1164604572182246
12209bb2863bbbb9
139671155b3c768
143c965ca6b8b6d
151a8e6a96b208c
hexc95f9d6c8ffd

221412500213757 has 16 divisors (see below), whose sum is σ = 296455446936000. Its totient is φ = 146989000569600.

The previous prime is 221412500213743. The next prime is 221412500213761. The reversal of 221412500213757 is 757312005214122.

It is a happy number.

It is not a de Polignac number, because 221412500213757 - 24 = 221412500213741 is a prime.

It is a super-3 number, since 3×2214125002137573 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221412500213057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8413119 + ... + 22662867.

It is an arithmetic number, because the mean of its divisors is an integer number (18528465433500).

Almost surely, 2221412500213757 is an apocalyptic number.

It is an amenable number.

221412500213757 is a deficient number, since it is larger than the sum of its proper divisors (75042946722243).

221412500213757 is a wasteful number, since it uses less digits than its factorization.

221412500213757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271484.

The product of its (nonzero) digits is 235200, while the sum is 42.

Adding to 221412500213757 its reverse (757312005214122), we get a palindrome (978724505427879).

The spelling of 221412500213757 in words is "two hundred twenty-one trillion, four hundred twelve billion, five hundred million, two hundred thirteen thousand, seven hundred fifty-seven".

Divisors: 1 3 241 723 21491 64473 5179331 14249749 15537993 42749247 3434189509 10302568527 306241355759 918724067277 73804166737919 221412500213757