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2281955328 = 2133419181
BaseRepresentation
bin1000100000000011…
…1110000000000000
312220000220100020000
42020000332000000
514133140032303
61014234120000
7110356204662
oct21000760000
95800810200
102281955328
11a711168a4
12538280000
132a49c7a33
141790d2532
15d5509da3
hex8803e000

2281955328 has 280 divisors, whose sum is σ = 7215728520. Its totient is φ = 716636160.

The previous prime is 2281955311. The next prime is 2281955387. The reversal of 2281955328 is 8235591822.

2281955328 is a `hidden beast` number, since 2 + 28 + 1 + 95 + 532 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12607398 + ... + 12607578.

It is an arithmetic number, because the mean of its divisors is an integer number (25770459).

Almost surely, 22281955328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607864260).

2281955328 is an abundant number, since it is smaller than the sum of its proper divisors (4933773192).

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

2281955328 is an equidigital number, since it uses as much as digits as its factorization.

2281955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 2281955328 is about 47769.8160766817. The cubic root of 2281955328 is about 1316.5450143510.

The spelling of 2281955328 in words is "two billion, two hundred eighty-one million, nine hundred fifty-five thousand, three hundred twenty-eight".