Search a number
-
+
204542112 = 25341157331
BaseRepresentation
bin11000011000100…
…01000010100000
3112020212211000210
430030101002200
5404330321422
632144014120
75032402455
oct1414210240
9466784023
10204542112
11a5505575
1258601340
13334b7848
141d24582c
1512e5510c
hexc3110a0

204542112 has 96 divisors (see below), whose sum is σ = 555194304. Its totient is φ = 65894400.

The previous prime is 204542029. The next prime is 204542119. The reversal of 204542112 is 211245402.

204542112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (204542119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617787 + ... + 618117.

It is an arithmetic number, because the mean of its divisors is an integer number (5783274).

Almost surely, 2204542112 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 204542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277597152).

204542112 is an abundant number, since it is smaller than the sum of its proper divisors (350652192).

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

204542112 is a wasteful number, since it uses less digits than its factorization.

204542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 204542112 is about 14301.8219818315. The cubic root of 204542112 is about 589.1975224452.

Adding to 204542112 its reverse (211245402), we get a palindrome (415787514).

The spelling of 204542112 in words is "two hundred four million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 157 164 246 314 328 331 471 492 628 656 662 942 984 993 1256 1312 1324 1884 1968 1986 2512 2648 3768 3936 3972 5024 5296 6437 7536 7944 10592 12874 13571 15072 15888 19311 25748 27142 31776 38622 40713 51496 51967 54284 77244 81426 102992 103934 108568 154488 155901 162852 205984 207868 217136 308976 311802 325704 415736 434272 617952 623604 651408 831472 1247208 1302816 1662944 2130647 2494416 4261294 4988832 6391941 8522588 12783882 17045176 25567764 34090352 51135528 68180704 102271056 204542112