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203428900 = 22526133349
BaseRepresentation
bin11000010000000…
…01010000100100
3112011210020222201
430020001100210
5404034211100
632104104244
75020055113
oct1410012044
9464706881
10203428900
11a4915164
1258165084
13331b7c3c
141d035c7a
1512cd536a
hexc201424

203428900 has 36 divisors (see below), whose sum is σ = 448690900. Its totient is φ = 80035200.

The previous prime is 203428889. The next prime is 203428903. The reversal of 203428900 is 9824302.

It can be written as a sum of positive squares in 6 ways, for example, as 3602404 + 199826496 = 1898^2 + 14136^2 .

It is not an unprimeable number, because it can be changed into a prime (203428903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10575 + ... + 22774.

Almost surely, 2203428900 is an apocalyptic number.

203428900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203428900 is an abundant number, since it is smaller than the sum of its proper divisors (245262000).

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

203428900 is a wasteful number, since it uses less digits than its factorization.

203428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33424 (or 33417 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 203428900 is about 14262.8503462667. The cubic root of 203428900 is about 588.1266830258.

The spelling of 203428900 in words is "two hundred three million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 33349 66698 133396 166745 333490 666980 833725 1667450 2034289 3334900 4068578 8137156 10171445 20342890 40685780 50857225 101714450 203428900