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230240164 = 2271129149173
BaseRepresentation
bin11011011100100…
…10111110100100
3121001020102010111
431232102332210
5432420141124
634502502404
75464003060
oct1556227644
9531212114
10230240164
11108a67930
1265134a04
13389146ab
1422814aa0
151532e494
hexdb92fa4

230240164 has 96 divisors (see below), whose sum is σ = 526176000. Its totient is φ = 85532160.

The previous prime is 230240161. The next prime is 230240167. The reversal of 230240164 is 461042032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230240161) and next prime (230240167).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (230240161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330782 + ... + 1330954.

It is an arithmetic number, because the mean of its divisors is an integer number (5481000).

Almost surely, 2230240164 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 230240164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263088000).

230240164 is an abundant number, since it is smaller than the sum of its proper divisors (295935836).

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

230240164 is a wasteful number, since it uses less digits than its factorization.

230240164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 230240164 is about 15173.6667948127. Note that the first 3 decimals coincide. The cubic root of 230240164 is about 612.9057494229.

Adding to 230240164 its reverse (461042032), we get a palindrome (691282196).

The spelling of 230240164 in words is "two hundred thirty million, two hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 149 154 173 203 298 308 319 346 406 596 638 692 812 1043 1211 1276 1639 1903 2086 2233 2422 3278 3806 4172 4321 4466 4844 5017 6556 7612 8642 8932 10034 11473 13321 17284 20068 22946 25777 26642 30247 35119 45892 47531 51554 53284 55187 60494 70238 95062 103108 110374 120988 140476 180439 190124 220748 283547 332717 360878 386309 567094 665434 721756 747533 772618 1134188 1330868 1495066 1545236 1984829 2990132 3969658 5232731 7939316 8222863 10465462 16445726 20930924 32891452 57560041 115120082 230240164