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204204100 = 225214292
BaseRepresentation
bin11000010101111…
…10100001000100
3112020020122100211
430022332201010
5404234012400
632132445204
75026464142
oct1412764104
9466218324
10204204100
11a52a4621
1258479804
13333c9a39
141d198592
1512dd9dba
hexc2be844

204204100 has 27 divisors (see below), whose sum is σ = 443433207. Its totient is φ = 81624480.

The previous prime is 204204089. The next prime is 204204101. The reversal of 204204100 is 1402402.

The square root of 204204100 is 14290.

It is a perfect power (a square), and thus also a powerful number.

204204100 is digitally balanced in base 3, 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 4 ways, for example, as 77686596 + 126517504 = 8814^2 + 11248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204204101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142186 + ... + 143614.

Almost surely, 2204204100 is an apocalyptic number.

204204100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204204100 is the 14290-th square number.

It is an amenable number.

204204100 is an abundant number, since it is smaller than the sum of its proper divisors (239229107).

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

204204100 is an equidigital number, since it uses as much as digits as its factorization.

204204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The cubic root of 204204100 is about 588.8727879516.

Multiplying 204204100 by its product of nonzero digits (64), we get a square (13069062400 = 1143202).

Adding to 204204100 its reverse (1402402), we get a palindrome (205606502).

It can be divided in two parts, 204204 and 100, that added together give a square (204304 = 4522).

The spelling of 204204100 in words is "two hundred four million, two hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1429 2858 5716 7145 14290 28580 35725 71450 142900 2042041 4084082 8168164 10210205 20420410 40840820 51051025 102102050 204204100