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203085800 = 23525211949
BaseRepresentation
bin11000001101011…
…01011111101000
3112011010211100022
430012231133220
5403442221200
632052500012
75014125611
oct1406553750
9464124308
10203085800
11a4700405
125801a608
13330c7a18
141cd86c08
1512c68885
hexc1ad7e8

203085800 has 48 divisors (see below), whose sum is σ = 473323500. Its totient is φ = 81036800.

The previous prime is 203085793. The next prime is 203085803. The reversal of 203085800 is 8580302.

It can be written as a sum of positive squares in 6 ways, for example, as 83795716 + 119290084 = 9154^2 + 10922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 203085800.

It is not an unprimeable number, because it can be changed into a prime (203085803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103226 + ... + 105174.

Almost surely, 2203085800 is an apocalyptic number.

203085800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203085800 is an abundant number, since it is smaller than the sum of its proper divisors (270237700).

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

203085800 is a wasteful number, since it uses less digits than its factorization.

203085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 203085800 is about 14250.8175204091. The cubic root of 203085800 is about 587.7958552124.

The spelling of 203085800 in words is "two hundred three million, eighty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 521 1042 1949 2084 2605 3898 4168 5210 7796 9745 10420 13025 15592 19490 20840 26050 38980 48725 52100 77960 97450 104200 194900 389800 1015429 2030858 4061716 5077145 8123432 10154290 20308580 25385725 40617160 50771450 101542900 203085800