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204131300 = 22522338761
BaseRepresentation
bin11000010101011…
…00101111100100
3112020002221111112
430022230233210
5404224200200
632131124152
75026041662
oct1412545744
9466087445
10204131300
11a525495a
1258443658
13333a2869
141d179c32
1512dc3535
hexc2acbe4

204131300 has 36 divisors (see below), whose sum is σ = 444916836. Its totient is φ = 81292800.

The previous prime is 204131297. The next prime is 204131303. The reversal of 204131300 is 3131402.

204131300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204131297) and next prime (204131303).

It can be written as a sum of positive squares in 6 ways, for example, as 55681444 + 148449856 = 7462^2 + 12184^2 .

It is not an unprimeable number, because it can be changed into a prime (204131303) 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, 18920 + ... + 27680.

It is an arithmetic number, because the mean of its divisors is an integer number (12358801).

Almost surely, 2204131300 is an apocalyptic number.

204131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204131300 is an abundant number, since it is smaller than the sum of its proper divisors (240785536).

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

204131300 is a wasteful number, since it uses less digits than its factorization.

204131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 9001 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 204131300 is about 14287.4525371040. The cubic root of 204131300 is about 588.8028007273.

Adding to 204131300 its reverse (3131402), we get a palindrome (207262702).

The spelling of 204131300 in words is "two hundred four million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 2330 4660 5825 8761 11650 17522 23300 35044 43805 87610 175220 219025 438050 876100 2041313 4082626 8165252 10206565 20413130 40826260 51032825 102065650 204131300