Search a number
-
+
33214841233 = 767586712071
BaseRepresentation
bin11110111011110000…
…100100000110010001
310011201210120202110221
4132323300210012101
51021010444404413
623131513153041
72254044330550
oct367360440621
9104653522427
1033214841233
11130a4a03912
12652b6bb781
13319442bc12
1418713b7d97
15ce5ea968d
hex7bbc24191

33214841233 has 16 divisors (see below), whose sum is σ = 38536141824. Its totient is φ = 28037837520.

The previous prime is 33214841227. The next prime is 33214841251.

33214841233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33214841233 - 29 = 33214840721 is a prime.

It is a super-2 number, since 2×332148412332 (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 (33214841263) 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 15 ways as a sum of consecutive naturals, for example, 2745588 + ... + 2757658.

It is an arithmetic number, because the mean of its divisors is an integer number (2408508864).

Almost surely, 233214841233 is an apocalyptic number.

It is an amenable number.

33214841233 is a deficient number, since it is larger than the sum of its proper divisors (5321300591).

33214841233 is a wasteful number, since it uses less digits than its factorization.

33214841233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18012.

The product of its digits is 41472, while the sum is 34.

The spelling of 33214841233 in words is "thirty-three billion, two hundred fourteen million, eight hundred forty-one thousand, two hundred thirty-three".

Divisors: 1 7 67 469 5867 12071 41069 84497 393089 808757 2751623 5661299 70820557 495743899 4744977319 33214841233