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230040032 = 2519933607
BaseRepresentation
bin11011011011000…
…10000111100000
3121000212020121012
431231202013200
5432342240112
634454320052
75462210435
oct1555420740
9530766535
10230040032
11108940532
1265059028
1338874581
14227a1b8c
15152e0022
hexdb621e0

230040032 has 24 divisors (see below), whose sum is σ = 453244176. Its totient is φ = 114930432.

The previous prime is 230040001. The next prime is 230040037.

230040032 is nontrivially palindromic in base 10.

230040032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2300400322 = 105836832645122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230039989 and 230040016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230040037) 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, 61973 + ... + 65579.

It is an arithmetic number, because the mean of its divisors is an integer number (18885174).

Almost surely, 2230040032 is an apocalyptic number.

It is an amenable number.

230040032 is a deficient number, since it is larger than the sum of its proper divisors (223204144).

230040032 is a wasteful number, since it uses less digits than its factorization.

230040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230040032 is about 15167.0706466344. The cubic root of 230040032 is about 612.7281122851.

The spelling of 230040032 in words is "two hundred thirty million, forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 1993 3607 3986 7214 7972 14428 15944 28856 31888 57712 63776 115424 7188751 14377502 28755004 57510008 115020016 230040032