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2225801160 = 233351117103107
BaseRepresentation
bin1000010010101011…
…0000011111001000
312202010020102012000
42010222300133020
514024301114120
61004510351000
7106104666132
oct20452603710
95663212160
102225801160
11a424523a0
125214bb460
1329619640b
14171876052
15d0616990
hex84ab07c8

2225801160 has 512 divisors, whose sum is σ = 8734003200. Its totient is φ = 498216960.

The previous prime is 2225801129. The next prime is 2225801191. The reversal of 2225801160 is 611085222.

It is a happy number.

2225801160 is a `hidden beast` number, since 2 + 22 + 580 + 1 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2225801129) and next prime (2225801191).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20801827 + ... + 20801933.

It is an arithmetic number, because the mean of its divisors is an integer number (17058600).

Almost surely, 22225801160 is an apocalyptic number.

2225801160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225801160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367001600).

2225801160 is an abundant number, since it is smaller than the sum of its proper divisors (6508202040).

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

2225801160 is a wasteful number, since it uses less digits than its factorization.

2225801160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2225801160 is about 47178.3971749783. The cubic root of 2225801160 is about 1305.6560580250.

Adding to 2225801160 its reverse (611085222), we get a palindrome (2836886382).

The spelling of 2225801160 in words is "two billion, two hundred twenty-five million, eight hundred one thousand, one hundred sixty".