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2276891136 = 293213191199
BaseRepresentation
bin1000011110110110…
…1001101000000000
312212200101001110100
42013231221220000
514130341004021
61013533402400
7110265153402
oct20755515000
95780331410
102276891136
11a69278013
12536639400
132a3943980
14178574b72
15d4d59626
hex87b69a00

2276891136 has 240 divisors, whose sum is σ = 7149542400. Its totient is φ = 693411840.

The previous prime is 2276891053. The next prime is 2276891143. The reversal of 2276891136 is 6311986722.

It is a junction number, because it is equal to n+sod(n) for n = 2276891091 and 2276891100.

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 23 ways as a sum of consecutive naturals, for example, 11441565 + ... + 11441763.

It is an arithmetic number, because the mean of its divisors is an integer number (29789760).

Almost surely, 22276891136 is an apocalyptic number.

2276891136 is a gapful number since it is divisible by the number (26) 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 2276891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574771200).

2276891136 is an abundant number, since it is smaller than the sum of its proper divisors (4872651264).

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

2276891136 is a wasteful number, since it uses less digits than its factorization.

2276891136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2276891136 is about 47716.7804446193. The cubic root of 2276891136 is about 1315.5703860298.

The spelling of 2276891136 in words is "two billion, two hundred seventy-six million, eight hundred ninety-one thousand, one hundred thirty-six".