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220445631601 = 1389235181043
BaseRepresentation
bin1100110101001110010…
…1010110010001110001
3210002000020100101101021
43031103211112101301
512102433040202401
6245134334535441
721632563644256
oct3152345262161
9702006311337
10220445631601
11855438a28a8
1236882967581
1317a32124340
14a95364942d
155b033b92a1
hex3353956471

220445631601 has 16 divisors (see below), whose sum is σ = 240175514880. Its totient is φ = 201113827200.

The previous prime is 220445631563. The next prime is 220445631619. The reversal of 220445631601 is 106136544022.

220445631601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220445631601 - 227 = 220311413873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220445631631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2679586 + ... + 2760628.

It is an arithmetic number, because the mean of its divisors is an integer number (15010969680).

Almost surely, 2220445631601 is an apocalyptic number.

It is an amenable number.

220445631601 is a deficient number, since it is larger than the sum of its proper divisors (19729883279).

220445631601 is a wasteful number, since it uses less digits than its factorization.

220445631601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83496.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 220445631601 in words is "two hundred twenty billion, four hundred forty-five million, six hundred thirty-one thousand, six hundred one".

Divisors: 1 13 89 1157 2351 30563 81043 209239 1053559 2720107 7212827 93766751 190532093 2476917209 16957356277 220445631601