Search a number
-
+
203250100 = 225211811721
BaseRepresentation
bin11000001110101…
…01100110110100
3112011110011201111
430013111212310
5404013000400
632100204404
75015411614
oct1407254664
9464404644
10203250100
11a4802899
1258099704
1333154741
141cdcaa44
1512c9c3ba
hexc1d59b4

203250100 has 36 divisors (see below), whose sum is σ = 441682668. Its totient is φ = 81184000.

The previous prime is 203250083. The next prime is 203250107. The reversal of 203250100 is 1052302.

203250100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10484644 + 192765456 = 3238^2 + 13884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203250107) 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, 117240 + ... + 118960.

It is an arithmetic number, because the mean of its divisors is an integer number (12268963).

Almost surely, 2203250100 is an apocalyptic number.

203250100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203250100 is an abundant number, since it is smaller than the sum of its proper divisors (238432568).

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

203250100 is a wasteful number, since it uses less digits than its factorization.

203250100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 203250100 is about 14256.5809365359. The cubic root of 203250100 is about 587.9543248955.

The spelling of 203250100 in words is "two hundred three million, two hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1181 1721 2362 3442 4724 5905 6884 8605 11810 17210 23620 29525 34420 43025 59050 86050 118100 172100 2032501 4065002 8130004 10162505 20325010 40650020 50812525 101625050 203250100