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2276874768 = 243724347479
BaseRepresentation
bin1000011110110110…
…0101101000010000
312212200100020000010
42013231211220100
514130334443033
61013533154520
7110265054600
oct20755455020
95780306003
102276874768
11a69266793
1253662ba40
132a393939c
1417856cc00
15d4d54863
hex87b65a10

2276874768 has 240 divisors, whose sum is σ = 7165255680. Its totient is φ = 620589312.

The previous prime is 2276874757. The next prime is 2276874773. The reversal of 2276874768 is 8674786722.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4753153 + ... + 4753631.

It is an arithmetic number, because the mean of its divisors is an integer number (29855232).

Almost surely, 22276874768 is an apocalyptic number.

2276874768 is a gapful number since it is divisible by the number (28) 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 2276874768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582627840).

2276874768 is an abundant number, since it is smaller than the sum of its proper divisors (4888380912).

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

2276874768 is a wasteful number, since it uses less digits than its factorization.

2276874768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 581 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 57.

The square root of 2276874768 is about 47716.6089323204. The cubic root of 2276874768 is about 1315.5672335870.

The spelling of 2276874768 in words is "two billion, two hundred seventy-six million, eight hundred seventy-four thousand, seven hundred sixty-eight".