Search a number
-
+
2225928160 = 25513912051
BaseRepresentation
bin1000010010101100…
…1111011111100000
312202010110212101201
42010223033133200
514024314200120
61004513210544
7106106035321
oct20453173740
95663425351
102225928160
11a42529855
12521560a54
1329620c171
141718aa448
15d063e40a
hex84acf7e0

2225928160 has 24 divisors (see below), whose sum is σ = 5258755656. Its totient is φ = 890371200.

The previous prime is 2225928151. The next prime is 2225928179. The reversal of 2225928160 is 618295222.

2225928160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6955866 + ... + 6956185.

It is an arithmetic number, because the mean of its divisors is an integer number (219114819).

Almost surely, 22225928160 is an apocalyptic number.

2225928160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225928160 is an abundant number, since it is smaller than the sum of its proper divisors (3032827496).

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

2225928160 is a wasteful number, since it uses less digits than its factorization.

2225928160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13912066 (or 13912058 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2225928160 is about 47179.7431107886. The cubic root of 2225928160 is about 1305.6808903069.

The spelling of 2225928160 in words is "two billion, two hundred twenty-five million, nine hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13912051 27824102 55648204 69560255 111296408 139120510 222592816 278241020 445185632 556482040 1112964080 2225928160