Search a number
-
+
859369225 = 52112132412
BaseRepresentation
bin110011001110001…
…110111100001001
32012220001110221211
4303032032330021
53224444303400
6221135133121
730203342431
oct6316167411
92186043854
10859369225
11401100900
121bb9741a1
1310906ba00
14821c12c1
15506a2dba
hex3338ef09

859369225 has 81 divisors (see below), whose sum is σ = 1300019007. Its totient is φ = 562848000.

The previous prime is 859369223. The next prime is 859369229. The reversal of 859369225 is 522963958.

It is a happy number.

The square root of 859369225 is 29315.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 778800649 + 80568576 = 27907^2 + 8976^2 .

It is not a de Polignac number, because 859369225 - 21 = 859369223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (859369223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20960205 + ... + 20960245.

Almost surely, 2859369225 is an apocalyptic number.

859369225 is the 29315-th square number.

859369225 is the 14658-th centered octagonal number.

It is an amenable number.

859369225 is a deficient number, since it is larger than the sum of its proper divisors (440649782).

859369225 is a wasteful number, since it uses less digits than its factorization.

859369225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 70 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The cubic root of 859369225 is about 950.7359855322.

Multiplying 859369225 by its sum of digits (49), we get a square (42109092025 = 2052052).

The spelling of 859369225 in words is "eight hundred fifty-nine million, three hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 5 11 13 25 41 55 65 121 143 169 205 275 325 451 533 605 715 845 1025 1573 1681 1859 2255 2665 3025 3575 4225 4961 5863 6929 7865 8405 9295 11275 13325 18491 20449 21853 24805 29315 34645 39325 42025 46475 64493 76219 92455 102245 109265 124025 146575 173225 203401 240383 284089 322465 381095 462275 511225 546325 838409 1017005 1201915 1420445 1612325 1905475 2644213 3124979 4192045 5085025 6009575 7102225 13221065 15624895 20960225 34374769 66105325 78124475 171873845 859369225