Search a number
-
+
33253035233 = 112274818473
BaseRepresentation
bin11110111110000010…
…010000110011100001
310011211110110012210112
4132332002100303201
51021100234111413
623135355541105
72255020064405
oct367602206341
9104743405715
1033253035233
1113114520600
12654045a795
13319c312712
1418764bb105
15ce95012a8
hex7be090ce1

33253035233 has 6 divisors (see below), whose sum is σ = 36550857042. Its totient is φ = 30230031920.

The previous prime is 33253035229. The next prime is 33253035247.

33253035233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 19417865104 + 13835170129 = 139348^2 + 117623^2 .

It is not a de Polignac number, because 33253035233 - 22 = 33253035229 is a prime.

It is a super-2 number, since 2×332530352332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33253035233.

It is not an unprimeable number, because it can be changed into a prime (33253035203) 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 5 ways as a sum of consecutive naturals, for example, 137409116 + ... + 137409357.

It is an arithmetic number, because the mean of its divisors is an integer number (6091809507).

Almost surely, 233253035233 is an apocalyptic number.

It is an amenable number.

33253035233 is a deficient number, since it is larger than the sum of its proper divisors (3297821809).

33253035233 is a wasteful number, since it uses less digits than its factorization.

33253035233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274818495 (or 274818484 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 32.

It can be divided in two parts, 332530 and 35233, that added together give a palindrome (367763).

The spelling of 33253035233 in words is "thirty-three billion, two hundred fifty-three million, thirty-five thousand, two hundred thirty-three".

Divisors: 1 11 121 274818473 3023003203 33253035233