Search a number
-
+
204200020 = 22529352069
BaseRepresentation
bin11000010101111…
…01100001010100
3112020020102202201
430022331201110
5404233400040
632132414244
75026446223
oct1412754124
9466212681
10204200020
11a52a1552
1258477384
13333c7c1b
141d196cba
1512dd8a9a
hexc2bd854

204200020 has 24 divisors (see below), whose sum is σ = 443608200. Its totient is φ = 78863232.

The previous prime is 204199999. The next prime is 204200021. The reversal of 204200020 is 20002402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68989636 + 135210384 = 8306^2 + 11628^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175455 + ... + 176614.

It is an arithmetic number, because the mean of its divisors is an integer number (18483675).

Almost surely, 2204200020 is an apocalyptic number.

204200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204200020 is an abundant number, since it is smaller than the sum of its proper divisors (239408180).

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

204200020 is a wasteful number, since it uses less digits than its factorization.

204200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352107 (or 352105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 204200020 is about 14289.8572421141. The cubic root of 204200020 is about 588.8688660307.

Adding to 204200020 its reverse (20002402), we get a palindrome (224202422).

The spelling of 204200020 in words is "two hundred four million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 352069 704138 1408276 1760345 3520690 7041380 10210001 20420002 40840004 51050005 102100010 204200020