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2276116480 = 2115113167
BaseRepresentation
bin1000011110101010…
…1100100000000000
312212121220200211101
42013222230200000
514130141211410
61013505024144
7110255446051
oct20752544000
95777820741
102276116480
11a68899000
12536325054
132a37321b1
14178412728
15d4c54d3a
hex87aac800

2276116480 has 192 divisors, whose sum is σ = 6043040640. Its totient is φ = 822722560.

The previous prime is 2276116471. The next prime is 2276116481. The reversal of 2276116480 is 846116722.

It is not an unprimeable number, because it can be changed into a prime (2276116481) 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 15 ways as a sum of consecutive naturals, for example, 13629357 + ... + 13629523.

It is an arithmetic number, because the mean of its divisors is an integer number (31474170).

Almost surely, 22276116480 is an apocalyptic number.

2276116480 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 2276116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021520320).

2276116480 is an abundant number, since it is smaller than the sum of its proper divisors (3766924160).

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

2276116480 is an equidigital number, since it uses as much as digits as its factorization.

2276116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 2276116480 is about 47708.6625257929. The cubic root of 2276116480 is about 1315.4211723242.

The spelling of 2276116480 in words is "two billion, two hundred seventy-six million, one hundred sixteen thousand, four hundred eighty".