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233506000052 = 22132345423077
BaseRepresentation
bin1101100101111000001…
…0101100110010110100
3211022201102201211210022
43121132002230302310
512311210014000202
6255134323544312
722604332152233
oct3313602546264
9738642654708
10233506000052
119003605aa36
123930882b098
1319033b71900
14b43200ab1a
156119c92ea2
hex365e0accb4

233506000052 has 18 divisors (see below), whose sum is σ = 442486962918. Its totient is φ = 107771999712.

The previous prime is 233506000033. The next prime is 233506000061. The reversal of 233506000052 is 250000605332.

233506000052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3754503076 + 229751496976 = 61274^2 + 479324^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 233505999985 and 233506000030.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172710863 + ... + 172712214.

It is an arithmetic number, because the mean of its divisors is an integer number (24582609051).

Almost surely, 2233506000052 is an apocalyptic number.

It is an amenable number.

233506000052 is a deficient number, since it is larger than the sum of its proper divisors (208980962866).

233506000052 is a wasteful number, since it uses less digits than its factorization.

233506000052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345423107 (or 345423092 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 233506000052 its reverse (250000605332), we get a palindrome (483506605384).

The spelling of 233506000052 in words is "two hundred thirty-three billion, five hundred six million, fifty-two", and thus it is an aban number.

Divisors: 1 2 4 13 26 52 169 338 676 345423077 690846154 1381692308 4490500001 8981000002 17962000004 58376500013 116753000026 233506000052