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2282960680 = 23571113233767
BaseRepresentation
bin1000100000010011…
…0011011100101000
312220002210102022021
42020010303130220
514133414220210
61014311434224
7110400563020
oct21004633450
95802712267
102282960680
11a71743170
12538685974
132a4c8a510
141792b4a80
15d5657bda
hex88133728

2282960680 has 512 divisors, whose sum is σ = 7501455360. Its totient is φ = 602173440.

The previous prime is 2282960677. The next prime is 2282960689. The reversal of 2282960680 is 860692822.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2282960689) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34074007 + ... + 34074073.

It is an arithmetic number, because the mean of its divisors is an integer number (14651280).

Almost surely, 22282960680 is an apocalyptic number.

2282960680 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 2282960680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750727680).

2282960680 is an abundant number, since it is smaller than the sum of its proper divisors (5218494680).

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

2282960680 is a wasteful number, since it uses less digits than its factorization.

2282960680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 2282960680 is about 47780.3377970479. The cubic root of 2282960680 is about 1316.7383276349.

The spelling of 2282960680 in words is "two billion, two hundred eighty-two million, nine hundred sixty thousand, six hundred eighty".