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214200303633 = 36293827577
BaseRepresentation
bin1100011101111101010…
…1010100000000010001
3202110212222122212000000
43013133111110000101
512002140234204013
6242222515520213
721322040353101
oct3073725240021
9673788585000
10214200303633
118292953a528
123561b2b9069
13172782905c4
14a520019201
155889e71973
hex31df554011

214200303633 has 14 divisors (see below), whose sum is σ = 321153542754. Its totient is φ = 142800201936.

The previous prime is 214200303563. The next prime is 214200303661. The reversal of 214200303633 is 336303002412.

It is a happy number.

214200303633 is a `hidden beast` number, since 2 + 1 + 4 + 20 + 0 + 3 + 0 + 3 + 633 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128158988049 + 86041315584 = 357993^2 + 293328^2 .

It is not a de Polignac number, because 214200303633 - 225 = 214166749201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214200303597 and 214200303606.

It is not an unprimeable number, because it can be changed into a prime (214200373633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 146913060 + ... + 146914517.

Almost surely, 2214200303633 is an apocalyptic number.

It is an amenable number.

214200303633 is a deficient number, since it is larger than the sum of its proper divisors (106953239121).

214200303633 is an frugal number, since it uses more digits than its factorization.

214200303633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293827595 (or 293827580 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 214200303633 in words is "two hundred fourteen billion, two hundred million, three hundred three thousand, six hundred thirty-three".

Divisors: 1 3 9 27 81 243 729 293827577 881482731 2644448193 7933344579 23800033737 71400101211 214200303633