Search a number
-
+
2225581335 = 325283174761
BaseRepresentation
bin1000010010100111…
…1010110100010111
312202002211020122100
42010221322310113
514024222100320
61004501533143
7106103062215
oct20451726427
95662736570
102225581335
11a4231221a
125214141b3
1329611a343
14171819cb5
15d05c1790
hex84a7ad17

2225581335 has 24 divisors (see below), whose sum is σ = 3871327824. Its totient is φ = 1182775680.

The previous prime is 2225581331. The next prime is 2225581349. The reversal of 2225581335 is 5331855222.

2225581335 is a `hidden beast` number, since 22 + 25 + 581 + 3 + 35 = 666.

2225581335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2225581335 - 22 = 2225581331 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2225581335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225581331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74646 + ... + 100115.

It is an arithmetic number, because the mean of its divisors is an integer number (161305326).

Almost surely, 22225581335 is an apocalyptic number.

2225581335 is a deficient number, since it is larger than the sum of its proper divisors (1645746489).

2225581335 is a wasteful number, since it uses less digits than its factorization.

2225581335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175055 (or 175052 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 2225581335 is about 47176.0673965094. The cubic root of 2225581335 is about 1305.6130734588.

The spelling of 2225581335 in words is "two billion, two hundred twenty-five million, five hundred eighty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 45 283 849 1415 2547 4245 12735 174761 524283 873805 1572849 2621415 7864245 49457363 148372089 247286815 445116267 741860445 2225581335