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230015180 = 225234710639
BaseRepresentation
bin11011011010111…
…00000011001100
3121000210222111202
431231130003030
5432340441210
634454005032
75462045123
oct1555340314
9530728452
10230015180
1110892389a
1265046778
1338866175
1422796aba
15152d79a5
hexdb5c0cc

230015180 has 48 divisors (see below), whose sum is σ = 514805760. Its totient is φ = 86125248.

The previous prime is 230015173. The next prime is 230015183. The reversal of 230015180 is 81510032.

230015180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (230015183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16301 + ... + 26939.

It is an arithmetic number, because the mean of its divisors is an integer number (10725120).

Almost surely, 2230015180 is an apocalyptic number.

230015180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230015180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

230015180 is an abundant number, since it is smaller than the sum of its proper divisors (284790580).

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

230015180 is a wasteful number, since it uses less digits than its factorization.

230015180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10718 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 230015180 is about 15166.2513496249. The cubic root of 230015180 is about 612.7060464628.

The spelling of 230015180 in words is "two hundred thirty million, fifteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 4324 5405 10639 10810 21278 21620 42556 53195 106390 212780 244697 489394 500033 978788 1000066 1223485 2000132 2446970 2500165 4893940 5000330 10000660 11500759 23001518 46003036 57503795 115007590 230015180