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20332033 = 1973107137
BaseRepresentation
bin100110110001…
…1111000000001
31102020222022021
41031203320001
520201111113
62003441441
7334551031
oct115437001
942228267
1020332033
1110527837
126986281
13429b5b7
1429b38c1
151bb948d
hex1363e01

20332033 has 16 divisors (see below), whose sum is σ = 22057920. Its totient is φ = 18683136.

The previous prime is 20331989. The next prime is 20332043. The reversal of 20332033 is 33023302.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20332033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20331998 and 20332016.

It is not an unprimeable number, because it can be changed into a prime (20332043) 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 15 ways as a sum of consecutive naturals, for example, 148341 + ... + 148477.

It is an arithmetic number, because the mean of its divisors is an integer number (1378620).

Almost surely, 220332033 is an apocalyptic number.

It is an amenable number.

20332033 is a deficient number, since it is larger than the sum of its proper divisors (1725887).

20332033 is a wasteful number, since it uses less digits than its factorization.

20332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 20332033 is about 4509.1055654087. The cubic root of 20332033 is about 272.9356519344.

Adding to 20332033 its reverse (33023302), we get a palindrome (53355335).

The spelling of 20332033 in words is "twenty million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 19 73 107 137 1387 2033 2603 7811 10001 14659 148409 190019 278521 1070107 20332033