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203420200 = 23525917239
BaseRepresentation
bin11000001111111…
…11001000101000
3112011202211001111
430013333020220
5404033421300
632104000104
75020020544
oct1407771050
9464684044
10203420200
11a4909675
1258160034
13331b3ca9
141d032a24
1512cd29ba
hexc1ff228

203420200 has 48 divisors (see below), whose sum is σ = 480996000. Its totient is φ = 79984320.

The previous prime is 203420167. The next prime is 203420207. The reversal of 203420200 is 2024302.

203420200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203420207) 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, 3181 + ... + 20419.

It is an arithmetic number, because the mean of its divisors is an integer number (10020750).

Almost surely, 2203420200 is an apocalyptic number.

203420200 is a gapful number since it is divisible by the number (20) 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 203420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240498000).

203420200 is an abundant number, since it is smaller than the sum of its proper divisors (277575800).

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

203420200 is a wasteful number, since it uses less digits than its factorization.

203420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17314 (or 17305 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 203420200 is about 14262.5453548797. The cubic root of 203420200 is about 588.1182988105.

Adding to 203420200 its reverse (2024302), we get a palindrome (205444502).

The spelling of 203420200 in words is "two hundred three million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 2360 2950 5900 11800 17239 34478 68956 86195 137912 172390 344780 430975 689560 861950 1017101 1723900 2034202 3447800 4068404 5085505 8136808 10171010 20342020 25427525 40684040 50855050 101710100 203420200