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233300020032 = 2632405034757
BaseRepresentation
bin1101100101000111000…
…0111100101101000000
3211022012002010222022200
43121101300330231000
512310244301120112
6255102045033200
722566251310342
oct3312160745500
9738162128280
10233300020032
118aa3a863112
123926b855800
13190002a2741
14b41290d292
156106b56cdc
hex3651c3cb40

233300020032 has 42 divisors (see below), whose sum is σ = 668712385458. Its totient is φ = 77766673152.

The previous prime is 233300019919. The next prime is 233300020067. The reversal of 233300020032 is 230020003332.

It can be written as a sum of positive squares in only one way, i.e., 126747392256 + 106552627776 = 356016^2 + 326424^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233300019987 and 233300020014.

It is a congruent number.

It is an unprimeable number.

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, 202516803 + ... + 202517954.

Almost surely, 2233300020032 is an apocalyptic number.

It is an amenable number.

233300020032 is an abundant number, since it is smaller than the sum of its proper divisors (435412365426).

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

233300020032 is a wasteful number, since it uses less digits than its factorization.

233300020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405034775 (or 405034762 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 233300020032 its reverse (230020003332), we get a palindrome (463320023364).

The spelling of 233300020032 in words is "two hundred thirty-three billion, three hundred million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 405034757 810069514 1215104271 1620139028 2430208542 3240278056 3645312813 4860417084 6480556112 7290625626 9720834168 12961112224 14581251252 19441668336 25922224448 29162502504 38883336672 58325005008 77766673344 116650010016 233300020032