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204214993 is a prime number
BaseRepresentation
bin11000010110000…
…01001011010001
3112020021012022021
430023001023101
5404234334433
632133011441
75026540663
oct1413011321
9466235267
10204214993
11a5301824
1258483b81
1333401998
141d19c533
1512ddd22d
hexc2c12d1

204214993 has 2 divisors, whose sum is σ = 204214994. Its totient is φ = 204214992.

The previous prime is 204214991. The next prime is 204215009. The reversal of 204214993 is 399412402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195524289 + 8690704 = 13983^2 + 2948^2 .

It is a cyclic number.

It is not a de Polignac number, because 204214993 - 21 = 204214991 is a prime.

Together with 204214991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (204214991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102107496 + 102107497.

It is an arithmetic number, because the mean of its divisors is an integer number (102107497).

Almost surely, 2204214993 is an apocalyptic number.

It is an amenable number.

204214993 is a deficient number, since it is larger than the sum of its proper divisors (1).

204214993 is an equidigital number, since it uses as much as digits as its factorization.

204214993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 204214993 is about 14290.3811355751. The cubic root of 204214993 is about 588.8832586477.

The spelling of 204214993 in words is "two hundred four million, two hundred fourteen thousand, nine hundred ninety-three".