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203802066 = 232135316433
BaseRepresentation
bin11000010010111…
…00010111010010
3112012111012212200
430021130113102
5404133131231
632120104030
75023201056
oct1411342722
9465435780
10203802066
11a504a566
1258305016
13332b8a50
141d0d1c66
1512d5abe6
hexc25c5d2

203802066 has 48 divisors (see below), whose sum is σ = 484540056. Its totient is φ = 61521408.

The previous prime is 203802043. The next prime is 203802077. The reversal of 203802066 is 660208302.

It can be written as a sum of positive squares in 4 ways, for example, as 200081025 + 3721041 = 14145^2 + 1929^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4186 + ... + 20618.

Almost surely, 2203802066 is an apocalyptic number.

203802066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203802066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242270028).

203802066 is an abundant number, since it is smaller than the sum of its proper divisors (280737990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203802066 is a wasteful number, since it uses less digits than its factorization.

203802066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16507 (or 16504 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 203802066 is about 14275.9260995566. The cubic root of 203802066 is about 588.4860793914.

The spelling of 203802066 in words is "two hundred three million, eight hundred two thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 12402 16433 32866 49299 98598 147897 213629 295794 427258 640887 870949 1281774 1741898 1922661 2612847 3845322 5225694 7838541 11322337 15677082 22644674 33967011 67934022 101901033 203802066