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200137609 = 72432472
BaseRepresentation
bin10111110110111…
…01101110001001
3111221121001012001
423323131232021
5402213400414
631505351001
74650066400
oct1373355611
9457531161
10200137609
11a2a77391
1257038461
1332604b29
141c81a637
1512885074
hexbeddb89

200137609 has 27 divisors (see below), whose sum is σ = 243532557. Its totient is φ = 163992024.

The previous prime is 200137601. The next prime is 200137627. The reversal of 200137609 is 906731002.

The square root of 200137609 is 14147.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 200137609 - 23 = 200137601 is a prime.

It is a super-3 number, since 3×2001376093 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200137601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4258224 + ... + 4258270.

Almost surely, 2200137609 is an apocalyptic number.

200137609 is the 14147-th square number.

200137609 is the 7074-th centered octagonal number.

It is an amenable number.

200137609 is a deficient number, since it is larger than the sum of its proper divisors (43394948).

200137609 is an frugal number, since it uses more digits than its factorization.

200137609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The cubic root of 200137609 is about 584.9376406123.

The spelling of 200137609 in words is "two hundred million, one hundred thirty-seven thousand, six hundred nine".

Divisors: 1 7 43 47 49 301 329 1849 2021 2107 2209 2303 12943 14147 15463 86903 90601 94987 99029 108241 608321 664909 4084441 4258247 4654363 28591087 200137609