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2333023133 = 7273652229
BaseRepresentation
bin1000101100001111…
…0001101110011101
320000120222212002012
42023003301232131
514234223220013
61023300441005
7111546240500
oct21303615635
96016885065
102333023133
11a97a268a1
125513a9165
132b246817c
14181bc7137
15d9c461a8
hex8b0f1b9d

2333023133 has 12 divisors (see below), whose sum is σ = 2751106140. Its totient is φ = 1972337472.

The previous prime is 2333023087. The next prime is 2333023153. The reversal of 2333023133 is 3313203332.

It can be written as a sum of positive squares in 2 ways, for example, as 1841868889 + 491154244 = 42917^2 + 22162^2 .

It is not a de Polignac number, because 2333023133 - 212 = 2333019037 is a prime.

It is a super-2 number, since 2×23330231332 = 10885993878226271378, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2333023099 and 2333023108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2333023153) 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 11 ways as a sum of consecutive naturals, for example, 322538 + ... + 329691.

It is an arithmetic number, because the mean of its divisors is an integer number (229258845).

Almost surely, 22333023133 is an apocalyptic number.

It is an amenable number.

2333023133 is a deficient number, since it is larger than the sum of its proper divisors (418083007).

2333023133 is an equidigital number, since it uses as much as digits as its factorization.

2333023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652316 (or 652309 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

The square root of 2333023133 is about 48301.3781687438. The cubic root of 2333023133 is about 1326.2936236048.

Adding to 2333023133 its reverse (3313203332), we get a palindrome (5646226465).

The spelling of 2333023133 in words is "two billion, three hundred thirty-three million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 7 49 73 511 3577 652229 4565603 31959221 47612717 333289019 2333023133