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200431 = 71119137
BaseRepresentation
bin110000111011101111
3101011221101
4300323233
522403211
64143531
71463230
oct607357
9334841
10200431
11127650
1297ba7
13702ca
1453087
153e5c1
hex30eef

200431 has 16 divisors (see below), whose sum is σ = 264960. Its totient is φ = 146880.

The previous prime is 200407. The next prime is 200437. The reversal of 200431 is 134002.

It is a 6-Lehmer number, since φ(200431) divides (200431-1)6.

It is a cyclic number.

It is not a de Polignac number, because 200431 - 213 = 192239 is a prime.

It is a super-2 number, since 2×2004312 = 80345171522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (16560).

2200431 is an apocalyptic number.

200431 is a deficient number, since it is larger than the sum of its proper divisors (64529).

200431 is a wasteful number, since it uses less digits than its factorization.

200431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200431 is about 447.6952088196. The cubic root of 200431 is about 58.5223330125.

Adding to 200431 its reverse (134002), we get a palindrome (334433).

The spelling of 200431 in words is "two hundred thousand, four hundred thirty-one".

Divisors: 1 7 11 19 77 133 137 209 959 1463 1507 2603 10549 18221 28633 200431