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230001232 = 24196179157
BaseRepresentation
bin11011011010110…
…00101001010000
3121000210021101011
431231120221100
5432340014412
634453420304
75461656346
oct1555305120
9530707334
10230001232
1110891436a
126503a694
133885ca06
1422791996
15152d37a7
hexdb58a50

230001232 has 80 divisors (see below), whose sum is σ = 485881600. Its totient is φ = 105131520.

The previous prime is 230001229. The next prime is 230001241. The reversal of 230001232 is 232100032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1464898 + ... + 1465054.

It is an arithmetic number, because the mean of its divisors is an integer number (6073520).

Almost surely, 2230001232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242940800).

230001232 is an abundant number, since it is smaller than the sum of its proper divisors (255880368).

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

230001232 is a wasteful number, since it uses less digits than its factorization.

230001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 230001232 is about 15165.7915058859. The cubic root of 230001232 is about 612.6936614879.

Adding to 230001232 its reverse (232100032), we get a palindrome (462101264).

The spelling of 230001232 in words is "two hundred thirty million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 61 76 79 122 152 157 158 244 304 314 316 488 628 632 976 1159 1256 1264 1501 2318 2512 2983 3002 4636 4819 5966 6004 9272 9577 9638 11932 12008 12403 18544 19154 19276 23864 24016 24806 38308 38552 47728 49612 76616 77104 91561 99224 153232 181963 183122 198448 235657 363926 366244 471314 727852 732488 756583 942628 1455704 1464976 1513166 1885256 2911408 3026332 3770512 6052664 12105328 14375077 28750154 57500308 115000616 230001232