Search a number
-
+
204200352 = 253478781
BaseRepresentation
bin11000010101111…
…01100110100000
3112020020110020000
430022331212200
5404233402402
632132420000
75026450206
oct1412754640
9466213200
10204200352
11a52a1824
1258477600
13333c8115
141d197076
1512dd8c1c
hexc2bd9a0

204200352 has 60 divisors (see below), whose sum is σ = 600555186. Its totient is φ = 68065920.

The previous prime is 204200351. The next prime is 204200387. The reversal of 204200352 is 253002402.

It can be written as a sum of positive squares in only one way, i.e., 196112016 + 8088336 = 14004^2 + 2844^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (204200351) 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 9 ways as a sum of consecutive naturals, for example, 36799 + ... + 41982.

Almost surely, 2204200352 is an apocalyptic number.

It is an amenable number.

204200352 is an abundant number, since it is smaller than the sum of its proper divisors (396354834).

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

204200352 is an equidigital number, since it uses as much as digits as its factorization.

204200352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78803 (or 78786 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 204200352 is about 14289.8688587404. The cubic root of 204200352 is about 588.8691851694.

Adding to 204200352 its reverse (253002402), we get a palindrome (457202754).

The spelling of 204200352 in words is "two hundred four million, two hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 78781 157562 236343 315124 472686 630248 709029 945372 1260496 1418058 1890744 2127087 2520992 2836116 3781488 4254174 5672232 6381261 7562976 8508348 11344464 12762522 17016696 22688928 25525044 34033392 51050088 68066784 102100176 204200352