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203200741 = 9710491997
BaseRepresentation
bin11000001110010…
…01100011100101
3112011100200000101
430013021203211
5404004410431
632055144101
75015114662
oct1407114345
9464320011
10203200741
11a47797a7
1258075031
1333138133
141cdb6a69
1512c8c961
hexc1c98e5

203200741 has 8 divisors (see below), whose sum is σ = 205594200. Its totient is φ = 200813568.

The previous prime is 203200733. The next prime is 203200747. The reversal of 203200741 is 147002302.

It can be written as a sum of positive squares in 4 ways, for example, as 16769025 + 186431716 = 4095^2 + 13654^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 203200741 - 23 = 203200733 is a prime.

It is a super-2 number, since 2×2032007412 = 82581082285898162, 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 (203200747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100755 + ... + 102751.

It is an arithmetic number, because the mean of its divisors is an integer number (25699275).

Almost surely, 2203200741 is an apocalyptic number.

It is an amenable number.

203200741 is a deficient number, since it is larger than the sum of its proper divisors (2393459).

203200741 is a wasteful number, since it uses less digits than its factorization.

203200741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143.

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 203200741 is about 14254.8497361424. The cubic root of 203200741 is about 587.9067264162.

The spelling of 203200741 in words is "two hundred three million, two hundred thousand, seven hundred forty-one".

Divisors: 1 97 1049 1997 101753 193709 2094853 203200741