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20235033 = 3271331797
BaseRepresentation
bin100110100110…
…0001100011001
31102002001020200
41031030030121
520140010113
62001412413
7333665160
oct115141431
942061220
1020235033
1110470975
12693a109
1342663c0
14298a3d7
151b9a873
hex134c319

20235033 has 48 divisors (see below), whose sum is σ = 37180416. Its totient is φ = 10316160.

The previous prime is 20235031. The next prime is 20235043. The reversal of 20235033 is 33053202.

It is not a de Polignac number, because 20235033 - 21 = 20235031 is a prime.

It is a super-2 number, since 2×202350332 = 818913121022178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20234997 and 20235015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20235031) 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 47 ways as a sum of consecutive naturals, for example, 24991 + ... + 25787.

It is an arithmetic number, because the mean of its divisors is an integer number (774592).

Almost surely, 220235033 is an apocalyptic number.

It is an amenable number.

20235033 is a deficient number, since it is larger than the sum of its proper divisors (16945383).

20235033 is a wasteful number, since it uses less digits than its factorization.

20235033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 20235033 is about 4498.3366926009. The cubic root of 20235033 is about 272.5009196726.

Adding to 20235033 its reverse (33053202), we get a palindrome (53288235).

It can be divided in two parts, 2023 and 5033, that added together give a square (7056 = 842).

The spelling of 20235033 in words is "twenty million, two hundred thirty-five thousand, thirty-three".

Divisors: 1 3 7 9 13 21 31 39 63 91 93 117 217 273 279 403 651 797 819 1209 1953 2391 2821 3627 5579 7173 8463 10361 16737 24707 25389 31083 50211 72527 74121 93249 172949 217581 222363 321191 518847 652743 963573 1556541 2248337 2890719 6745011 20235033