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230042967 = 37116011657
BaseRepresentation
bin11011011011000…
…10110101010111
3121000212101121220
431231202311113
5432342333332
634454341423
75462222130
oct1555426527
9530771556
10230042967
11108942760
126505a873
13388759cb
14227a2c87
15152e0d2c
hexdb62d57

230042967 has 32 divisors (see below), whose sum is σ = 383276544. Its totient is φ = 119232000.

The previous prime is 230042951. The next prime is 230042977. The reversal of 230042967 is 769240032.

It is not a de Polignac number, because 230042967 - 24 = 230042951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230042927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138003 + ... + 139659.

It is an arithmetic number, because the mean of its divisors is an integer number (11977392).

Almost surely, 2230042967 is an apocalyptic number.

230042967 is a deficient number, since it is larger than the sum of its proper divisors (153233577).

230042967 is a wasteful number, since it uses less digits than its factorization.

230042967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 230042967 is about 15167.1674019904. The cubic root of 230042967 is about 612.7307181350.

Adding to 230042967 its reverse (769240032), we get a palindrome (999282999).

The spelling of 230042967 in words is "two hundred thirty million, forty-two thousand, nine hundred sixty-seven".

Divisors: 1 3 7 11 21 33 77 231 601 1657 1803 4207 4971 6611 11599 12621 18227 19833 34797 46277 54681 127589 138831 382767 995857 2987571 6970999 10954427 20912997 32863281 76680989 230042967