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230213120 = 295194733
BaseRepresentation
bin11011011100011…
…00011000000000
3121001012001000212
431232030120000
5432413304440
634502133252
75463531164
oct1556143000
9531161025
10230213120
11108a49585
1265121228
13389052a7
1422808ca4
1515326465
hexdb8c600

230213120 has 80 divisors (see below), whose sum is σ = 581145840. Its totient is φ = 87220224.

The previous prime is 230213119. The next prime is 230213131. The reversal of 230213120 is 21312032.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 230213095 and 230213104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46274 + ... + 51006.

It is an arithmetic number, because the mean of its divisors is an integer number (7264323).

Almost surely, 2230213120 is an apocalyptic number.

230213120 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 230213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290572920).

230213120 is an abundant number, since it is smaller than the sum of its proper divisors (350932720).

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

230213120 is an equidigital number, since it uses as much as digits as its factorization.

230213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 230213120 is about 15172.7756195101. The cubic root of 230213120 is about 612.8817511887.

Adding to 230213120 its reverse (21312032), we get a palindrome (251525152).

The spelling of 230213120 in words is "two hundred thirty million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1216 1280 1520 2432 2560 3040 4733 4864 6080 9466 9728 12160 18932 23665 24320 37864 47330 48640 75728 89927 94660 151456 179854 189320 302912 359708 378640 449635 605824 719416 757280 899270 1211648 1438832 1514560 1798540 2423296 2877664 3029120 3597080 5755328 6058240 7194160 11510656 12116480 14388320 23021312 28776640 46042624 57553280 115106560 230213120