Search a number
-
+
204310144 = 278319231
BaseRepresentation
bin11000010110110…
…00011010000000
3112020110000211101
430023120122000
5404300411034
632135024144
75030415253
oct1413303200
9466400741
10204310144
11a5367265
125850b054
133343609c
141d1c509a
1512e0b514
hexc2d8680

204310144 has 32 divisors (see below), whose sum is σ = 411949440. Its totient is φ = 100919040.

The previous prime is 204310111. The next prime is 204310151. The reversal of 204310144 is 441013402.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1009 + ... + 20239.

It is an arithmetic number, because the mean of its divisors is an integer number (12873420).

Almost surely, 2204310144 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 204310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205974720).

204310144 is an abundant number, since it is smaller than the sum of its proper divisors (207639296).

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

204310144 is an equidigital number, since it uses as much as digits as its factorization.

204310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19328 (or 19316 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 204310144 is about 14293.7099452871. The cubic root of 204310144 is about 588.9747049707.

Adding to 204310144 its reverse (441013402), we get a palindrome (645323546).

The spelling of 204310144 in words is "two hundred four million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 5312 10624 19231 38462 76924 153848 307696 615392 1230784 1596173 2461568 3192346 6384692 12769384 25538768 51077536 102155072 204310144