Search a number
-
+
2225601609 = 372111376377
BaseRepresentation
bin1000010010100111…
…1111110001001001
312202002212021110020
42010221333301021
514024223222414
61004502211053
7106103205300
oct20451776111
95662767406
102225601609
11a42326480
12521423a89
1329612663a
14171823437
15d05c77a9
hex84a7fc49

2225601609 has 24 divisors (see below), whose sum is σ = 3765770208. Its totient is φ = 1156155840.

The previous prime is 2225601593. The next prime is 2225601629. The reversal of 2225601609 is 9061065222.

2225601609 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2225601609 - 24 = 2225601593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 2225601609.

It is not an unprimeable number, because it can be changed into a prime (2225601629) 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, 686572 + ... + 689805.

It is an arithmetic number, because the mean of its divisors is an integer number (156907092).

Almost surely, 22225601609 is an apocalyptic number.

It is an amenable number.

2225601609 is a deficient number, since it is larger than the sum of its proper divisors (1540168599).

2225601609 is a wasteful number, since it uses less digits than its factorization.

2225601609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376405 (or 1376398 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2225601609 is about 47176.2822719213. The cubic root of 2225601609 is about 1305.6170379539.

The spelling of 2225601609 in words is "two billion, two hundred twenty-five million, six hundred one thousand, six hundred nine".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 1376377 4129131 9634639 15140147 28903917 45420441 67442473 105981029 202327419 317943087 741867203 2225601609