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2281978608 = 243721325741
BaseRepresentation
bin1000100000000100…
…0011101011110000
312220000221112011020
42020001003223300
514133141303413
61014234415440
7110356332600
oct21001035360
95800845136
102281978608
11a71132338
12538291580
132a4a05500
141790dac00
15d5511c23
hex88043af0

2281978608 has 180 divisors, whose sum is σ = 7426955448. Its totient is φ = 601735680.

The previous prime is 2281978597. The next prime is 2281978609. The reversal of 2281978608 is 8068791822.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281978609) 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 35 ways as a sum of consecutive naturals, for example, 394618 + ... + 400358.

Almost surely, 22281978608 is an apocalyptic number.

2281978608 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 2281978608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713477724).

2281978608 is an abundant number, since it is smaller than the sum of its proper divisors (5144976840).

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

2281978608 is a wasteful number, since it uses less digits than its factorization.

2281978608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 2281978608 is about 47770.0597445722. The cubic root of 2281978608 is about 1316.5494913688.

The spelling of 2281978608 in words is "two billion, two hundred eighty-one million, nine hundred seventy-eight thousand, six hundred eight".