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200756349 = 32171312133
BaseRepresentation
bin10111111011101…
…00110001111101
3111222202110221100
423331310301331
5402343200344
631530523313
74655254323
oct1375646175
9458673840
10200756349
11a335a242
1257296539
1332790651
141c93bd13
1512958569
hexbf74c7d

200756349 has 12 divisors (see below), whose sum is σ = 307039356. Its totient is φ = 125964672.

The previous prime is 200756323. The next prime is 200756359. The reversal of 200756349 is 943657002.

It can be written as a sum of positive squares in 2 ways, for example, as 98604900 + 102151449 = 9930^2 + 10107^2 .

It is not a de Polignac number, because 200756349 - 27 = 200756221 is a prime.

It is a super-2 number, since 2×2007563492 = 80606223327619602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200756359) 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 11 ways as a sum of consecutive naturals, for example, 655914 + ... + 656219.

It is an arithmetic number, because the mean of its divisors is an integer number (25586613).

Almost surely, 2200756349 is an apocalyptic number.

It is an amenable number.

200756349 is a deficient number, since it is larger than the sum of its proper divisors (106283007).

200756349 is a wasteful number, since it uses less digits than its factorization.

200756349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312156 (or 1312153 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 200756349 is about 14168.8513648778. The cubic root of 200756349 is about 585.5398129293.

The spelling of 200756349 in words is "two hundred million, seven hundred fifty-six thousand, three hundred forty-nine".

Divisors: 1 3 9 17 51 153 1312133 3936399 11809197 22306261 66918783 200756349