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230315120 = 24573113267
BaseRepresentation
bin11011011101001…
…01010001110000
3121001101012221122
431232211101300
5432430040440
634504241412
75464434440
oct1556452160
9531335848
10230315120
11109009182
1265170268
133893c849
1422834120
15153467b5
hexdba5470

230315120 has 80 divisors (see below), whose sum is σ = 631769088. Its totient is φ = 76412160.

The previous prime is 230315117. The next prime is 230315159. The reversal of 230315120 is 21513032.

230315120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2303151202 = 106090109001228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10727 + ... + 23993.

Almost surely, 2230315120 is an apocalyptic number.

230315120 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 230315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315884544).

230315120 is an abundant number, since it is smaller than the sum of its proper divisors (401453968).

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

230315120 is a wasteful number, since it uses less digits than its factorization.

230315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13318 (or 13312 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 230315120 is about 15176.1365307512. The cubic root of 230315120 is about 612.9722538619.

Adding to 230315120 its reverse (21513032), we get a palindrome (251828152).

The spelling of 230315120 in words is "two hundred thirty million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 13267 17360 26534 53068 66335 92869 106136 132670 185738 212272 265340 371476 411277 464345 530680 742952 822554 928690 1061360 1485904 1645108 1857380 2056385 2878939 3290216 3714760 4112770 5757878 6580432 7429520 8225540 11515756 14394695 16451080 23031512 28789390 32902160 46063024 57578780 115157560 230315120