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33220020841 = 72173137993
BaseRepresentation
bin11110111100000100…
…010100101001101001
310011202011022220120021
4132330010110221221
51021013311131331
623132220200441
72254136342500
oct367404245151
9104664286507
1033220020841
11130a7921387
126531399121
133195523687
141871d65837
15ce667e211
hex7bc114a69

33220020841 has 24 divisors (see below), whose sum is σ = 41058734760. Its totient is φ = 26799150336.

The previous prime is 33220020833. The next prime is 33220020853. The reversal of 33220020841 is 14802002233.

It can be written as a sum of positive squares in 4 ways, for example, as 248724441 + 32971296400 = 15771^2 + 181580^2 .

It is not a de Polignac number, because 33220020841 - 23 = 33220020833 is a prime.

It is a super-2 number, since 2×332200208412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33220020871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171741 + ... + 309733.

It is an arithmetic number, because the mean of its divisors is an integer number (1710780615).

Almost surely, 233220020841 is an apocalyptic number.

It is an amenable number.

33220020841 is a deficient number, since it is larger than the sum of its proper divisors (7838713919).

33220020841 is an equidigital number, since it uses as much as digits as its factorization.

33220020841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138058 (or 138017 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 33220020841 in words is "thirty-three billion, two hundred twenty million, twenty thousand, eight hundred forty-one".

Divisors: 1 7 17 49 119 289 833 2023 4913 14161 34391 137993 240737 965951 2345881 6761657 16421167 39879977 114948169 279159839 677959609 1954118873 4745717263 33220020841