Search a number
-
+
204051144 = 23311772921
BaseRepresentation
bin11000010100110…
…01001011001000
3112012221212112210
430022121023020
5404214114034
632125305120
75025256203
oct1412311310
9465855483
10204051144
11a51aa710
12584051a0
133337522b
141d15893a
1512da98e9
hexc2992c8

204051144 has 32 divisors (see below), whose sum is σ = 556503840. Its totient is φ = 61833600.

The previous prime is 204051139. The next prime is 204051167. The reversal of 204051144 is 441150402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 204051144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386197 + ... + 386724.

It is an arithmetic number, because the mean of its divisors is an integer number (17390745).

Almost surely, 2204051144 is an apocalyptic number.

204051144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204051144 is an abundant number, since it is smaller than the sum of its proper divisors (352452696).

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

204051144 is a wasteful number, since it uses less digits than its factorization.

204051144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772941 (or 772937 counting only the distinct ones).

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

The square root of 204051144 is about 14284.6471429994. The cubic root of 204051144 is about 588.7257224675.

The spelling of 204051144 in words is "two hundred four million, fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 772921 1545842 2318763 3091684 4637526 6183368 8502131 9275052 17004262 18550104 25506393 34008524 51012786 68017048 102025572 204051144