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233024324233 = 3743210931249
BaseRepresentation
bin1101100100000101010…
…1010000001010001001
3211021110212101011210011
43121001111100022021
512304213211333413
6255014435551521
722556363034451
oct3310125201211
9737425334704
10233024324233
118a909179848
12391b345b5a1
1318c8813422c
14b3c8064d61
1560dc84933d
hex3641550289

233024324233 has 24 divisors (see below), whose sum is σ = 247273125000. Its totient is φ = 219414956544.

The previous prime is 233024324231. The next prime is 233024324249. The reversal of 233024324233 is 332423420332.

It can be written as a sum of positive squares in 4 ways, for example, as 119403420304 + 113620903929 = 345548^2 + 337077^2 .

It is not a de Polignac number, because 233024324233 - 21 = 233024324231 is a prime.

It is a super-2 number, since 2×2330243242332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233024324195 and 233024324204.

It is not an unprimeable number, because it can be changed into a prime (233024324231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7441393 + ... + 7472641.

It is an arithmetic number, because the mean of its divisors is an integer number (10303046875).

Almost surely, 2233024324233 is an apocalyptic number.

It is an amenable number.

233024324233 is a deficient number, since it is larger than the sum of its proper divisors (14248800767).

233024324233 is a wasteful number, since it uses less digits than its factorization.

233024324233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31481 (or 31438 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 31.

Adding to 233024324233 its reverse (332423420332), we get a palindrome (565447744565).

The spelling of 233024324233 in words is "two hundred thirty-three billion, twenty-four million, three hundred twenty-four thousand, two hundred thirty-three".

Divisors: 1 37 43 109 1591 1849 4033 4687 31249 68413 173419 201541 1156213 1343707 3406141 7457017 49717159 57779401 126027217 146464063 2137837837 5419170331 6297954709 233024324233