Search a number
-
+
2225928195 = 34513734003
BaseRepresentation
bin1000010010101100…
…1111100000000011
312202010110212110000
42010223033200003
514024314200240
61004513211043
7106106035401
oct20453174003
95663425400
102225928195
11a42529887
12521560a83
1329620c19a
141718aa471
15d063e430
hex84acf803

2225928195 has 40 divisors (see below), whose sum is σ = 3994086096. Its totient is φ = 1186000704.

The previous prime is 2225928179. The next prime is 2225928197. The reversal of 2225928195 is 5918295222.

It is a happy number.

It is not a de Polignac number, because 2225928195 - 24 = 2225928179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2225928195.

It is not an unprimeable number, because it can be changed into a prime (2225928197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 554064 + ... + 558066.

Almost surely, 22225928195 is an apocalyptic number.

2225928195 is a deficient number, since it is larger than the sum of its proper divisors (1768157901).

2225928195 is a wasteful number, since it uses less digits than its factorization.

2225928195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5384 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2225928195 is about 47179.7434817105. The cubic root of 2225928195 is about 1305.6808971503.

The spelling of 2225928195 in words is "two billion, two hundred twenty-five million, nine hundred twenty-eight thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1373 4003 4119 6865 12009 12357 20015 20595 36027 37071 60045 61785 108081 111213 180135 185355 324243 540405 556065 1621215 5496119 16488357 27480595 49465071 82441785 148395213 247325355 445185639 741976065 2225928195