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2225105440 = 25513906909
BaseRepresentation
bin1000010010100000…
…0110101000100000
312202001221001211121
42010220012220200
514024111333230
61004443422024
7106066040605
oct20450065040
95661831747
102225105440
11a42017718
12521224914
13295cb184c
141717346ac
15d052a77a
hex84a06a20

2225105440 has 24 divisors (see below), whose sum is σ = 5256811980. Its totient is φ = 890042112.

The previous prime is 2225105431. The next prime is 2225105471. The reversal of 2225105440 is 445015222.

It can be written as a sum of positive squares in 2 ways, for example, as 2193610896 + 31494544 = 46836^2 + 5612^2 .

It is a super-3 number, since 3×22251054403 (a number of 29 digits) contains 333 as substring.

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, 6953295 + ... + 6953614.

Almost surely, 22225105440 is an apocalyptic number.

2225105440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225105440 is an abundant number, since it is smaller than the sum of its proper divisors (3031706540).

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

2225105440 is a wasteful number, since it uses less digits than its factorization.

2225105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13906924 (or 13906916 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2225105440 is about 47171.0233088069. The cubic root of 2225105440 is about 1305.5200072838.

The spelling of 2225105440 in words is "two billion, two hundred twenty-five million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13906909 27813818 55627636 69534545 111255272 139069090 222510544 278138180 445021088 556276360 1112552720 2225105440