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203006892 = 223117121661
BaseRepresentation
bin11000001100110…
…10001110101100
3112010222211002210
430012122032230
5403432210032
632051050420
75013346554
oct1406321654
9463884083
10203006892
11a46570a0
1257ba0a10
133309ab2a
141cd66164
1512c502cc
hexc19a3ac

203006892 has 48 divisors (see below), whose sum is σ = 524047104. Its totient is φ = 60648000.

The previous prime is 203006891. The next prime is 203006893. The reversal of 203006892 is 298600302.

It is an interprime number because it is at equal distance from previous prime (203006891) and next prime (203006893).

It is not an unprimeable number, because it can be changed into a prime (203006891) 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 15 ways as a sum of consecutive naturals, for example, 1459 + ... + 20202.

It is an arithmetic number, because the mean of its divisors is an integer number (10917648).

Almost surely, 2203006892 is an apocalyptic number.

203006892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203006892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262023552).

203006892 is an abundant number, since it is smaller than the sum of its proper divisors (321040212).

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

203006892 is a wasteful number, since it uses less digits than its factorization.

203006892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21750 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 203006892 is about 14248.0487085074. The cubic root of 203006892 is about 587.7197169434.

The spelling of 203006892 in words is "two hundred three million, six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 21661 43322 64983 86644 129966 238271 259932 476542 714813 953084 1429626 1537931 2859252 3075862 4613793 6151724 9227586 16917241 18455172 33834482 50751723 67668964 101503446 203006892