Search a number
-
+
204202215204 = 2231317110369809
BaseRepresentation
bin1011111000101101100…
…1101000011100100100
3201112002012111100001120
42332023121220130210
511321201231341304
6233450442053540
720516215122201
oct2761331503444
9645065440046
10204202215204
1179668910729
12336aaaaa2b0
1316343ac2250
149c52232ca8
1554a23400d9
hex2f8b668724

204202215204 has 96 divisors (see below), whose sum is σ = 543807613440. Its totient is φ = 59081023488.

The previous prime is 204202215197. The next prime is 204202215229. The reversal of 204202215204 is 402512202402.

204202215204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2890252 + ... + 2960060.

It is an arithmetic number, because the mean of its divisors is an integer number (5664662640).

Almost surely, 2204202215204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204202215204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271903806720).

204202215204 is an abundant number, since it is smaller than the sum of its proper divisors (339605398236).

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

204202215204 is a wasteful number, since it uses less digits than its factorization.

204202215204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70949 (or 70947 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 204202215204 its reverse (402512202402), we get a palindrome (606714417606).

The spelling of 204202215204 in words is "two hundred four billion, two hundred two million, two hundred fifteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1103 1326 2206 2652 3309 4412 6618 13236 14339 18751 28678 37502 43017 56253 57356 69809 75004 86034 112506 139618 172068 209427 225012 243763 279236 418854 487526 731289 837708 907517 975052 1186753 1462578 1815034 2373506 2722551 2925156 3560259 3630068 4747012 5445102 7120518 10890204 14241036 15427789 30855578 46283367 61711156 76999327 92566734 153998654 185133468 230997981 307997308 461995962 923991924 1000991251 1308988559 2001982502 2617977118 3002973753 3926965677 4003965004 5235954236 6005947506 7853931354 12011895012 15707862708 17016851267 34033702534 51050553801 68067405068 102101107602 204202215204