Search a number
-
+
834102225 = 335211112337
BaseRepresentation
bin110001101101110…
…110001111010001
32011010111210011000
4301231312033101
53202012232400
6214433412213
726445515625
oct6155661721
92133453130
10834102225
11398913390
121b340a069
13103a63118
147cac5185
154d361600
hex31b763d1

834102225 has 48 divisors (see below), whose sum is σ = 1671589440. Its totient is φ = 404409600.

The previous prime is 834102209. The next prime is 834102239. The reversal of 834102225 is 522201438.

It is not a de Polignac number, because 834102225 - 24 = 834102209 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48744 + ... + 63593.

It is an arithmetic number, because the mean of its divisors is an integer number (34824780).

Almost surely, 2834102225 is an apocalyptic number.

It is an amenable number.

834102225 is an abundant number, since it is smaller than the sum of its proper divisors (837487215).

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

834102225 is a wasteful number, since it uses less digits than its factorization.

834102225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112367 (or 112356 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 834102225 is about 28880.8279832833. The cubic root of 834102225 is about 941.3253618172.

The spelling of 834102225 in words is "eight hundred thirty-four million, one hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 112337 337011 561685 1011033 1235707 1685055 2808425 3033099 3707121 5055165 6178535 8425275 11121363 15165495 18535605 25275825 30892675 33364089 55606815 75827475 92678025 166820445 278034075 834102225