Search a number
-
+
2289315952 = 247111858211
BaseRepresentation
bin1000100001110100…
…0011000001110000
312220112202022002201
42020131003001300
514142031102302
61015055552544
7110505602350
oct21035030160
95815668081
102289315952
11a75293a60
1253a82b754
132a63a4131
1417a08ab60
15d5eb0c87
hex88743070

2289315952 has 40 divisors (see below), whose sum is σ = 5530038912. Its totient is φ = 891940800.

The previous prime is 2289315949. The next prime is 2289315953. The reversal of 2289315952 is 2595139822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289315953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927874 + ... + 930337.

Almost surely, 22289315952 is an apocalyptic number.

2289315952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2289315952 is an abundant number, since it is smaller than the sum of its proper divisors (3240722960).

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

2289315952 is a wasteful number, since it uses less digits than its factorization.

2289315952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858237 (or 1858231 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The square root of 2289315952 is about 47846.7966743856. The cubic root of 2289315952 is about 1317.9590344663.

The spelling of 2289315952 in words is "two billion, two hundred eighty-nine million, three hundred fifteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1858211 3716422 7432844 13007477 14865688 20440321 26014954 29731376 40880642 52029908 81761284 104059816 143082247 163522568 208119632 286164494 327045136 572328988 1144657976 2289315952