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2225013040 = 245171636039
BaseRepresentation
bin1000010010011111…
…0000000100110000
312202001202101002101
42010213300010300
514024100404130
61004441430144
7106065204325
oct20447600460
95661671071
102225013040
11a41a64258
1252119b354
13295c7b783
1417170cb4c
15d050d1ca
hex849f0130

2225013040 has 40 divisors (see below), whose sum is σ = 5477461920. Its totient is φ = 837651456.

The previous prime is 2225013013. The next prime is 2225013047. The reversal of 2225013040 is 403105222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2225012999 and 2225013017.

It is not an unprimeable number, because it can be changed into a prime (2225013047) 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, 816660 + ... + 819379.

It is an arithmetic number, because the mean of its divisors is an integer number (136936548).

Almost surely, 22225013040 is an apocalyptic number.

2225013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225013040 is an abundant number, since it is smaller than the sum of its proper divisors (3252448880).

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

2225013040 is a wasteful number, since it uses less digits than its factorization.

2225013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636069 (or 1636063 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2225013040 is about 47170.0438838041. The cubic root of 2225013040 is about 1305.5019359727.

Adding to 2225013040 its reverse (403105222), we get a palindrome (2628118262).

The spelling of 2225013040 in words is "two billion, two hundred twenty-five million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1636039 3272078 6544156 8180195 13088312 16360390 26176624 27812663 32720780 55625326 65441560 111250652 130883120 139063315 222501304 278126630 445002608 556253260 1112506520 2225013040