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233130320 = 2452914129
BaseRepresentation
bin11011110010101…
…00100101010000
3121020200020200022
431321110211100
5434140132240
635044443012
75530401143
oct1571244520
9536606608
10233130320
1110a661295
12660a9468
13393b7047
1422d6805a
15157009b5
hexde54950

233130320 has 20 divisors (see below), whose sum is σ = 542028180. Its totient is φ = 93252096.

The previous prime is 233130269. The next prime is 233130329. The reversal of 233130320 is 23031332.

It can be written as a sum of positive squares in 2 ways, for example, as 81938704 + 151191616 = 9052^2 + 12296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2331303202 = 108699492206604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233130329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1456985 + ... + 1457144.

It is an arithmetic number, because the mean of its divisors is an integer number (27101409).

Almost surely, 2233130320 is an apocalyptic number.

233130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233130320 is an abundant number, since it is smaller than the sum of its proper divisors (308897860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233130320 is a wasteful number, since it uses less digits than its factorization.

233130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914142 (or 2914136 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 233130320 is about 15268.6056992772. The cubic root of 233130320 is about 615.4596515233.

Adding to 233130320 its reverse (23031332), we get a palindrome (256161652).

The spelling of 233130320 in words is "two hundred thirty-three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2914129 5828258 11656516 14570645 23313032 29141290 46626064 58282580 116565160 233130320