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220308097482 = 233112331571911
BaseRepresentation
bin1100110100101101100…
…0101100100111001010
3210001122122112221001000
43031023120230213022
512102142333104412
6245112543035430
721626303634204
oct3151330544712
9701578487030
10220308097482
11854831a5440
123684489bb76
1317a0c79b4c5
14a93d287774
155ae629d4dc
hex334b62c9ca

220308097482 has 256 divisors, whose sum is σ = 576918650880. Its totient is φ = 61621560000.

The previous prime is 220308097447. The next prime is 220308097519. The reversal of 220308097482 is 284790803022.

220308097482 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 0 + 80 + 97 + 482 = 666.

220308097482 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2203080974822 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241830607 + ... + 241831517.

It is an arithmetic number, because the mean of its divisors is an integer number (2253588480).

Almost surely, 2220308097482 is an apocalyptic number.

220308097482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220308097482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288459325440).

220308097482 is an abundant number, since it is smaller than the sum of its proper divisors (356610553398).

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

220308097482 is a wasteful number, since it uses less digits than its factorization.

220308097482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 220308097482 in words is "two hundred twenty billion, three hundred eight million, ninety-seven thousand, four hundred eighty-two".