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230245320 = 23358323117
BaseRepresentation
bin11011011100101…
…00001111001000
3121001020200012110
431232110033020
5432420322240
634502542320
75464024104
oct1556241710
9531220173
10230245320
11108a70798
12651379a0
1338916b46
1422816904
1515330c80
hexdb943c8

230245320 has 64 divisors (see below), whose sum is σ = 699088320. Its totient is φ = 60656384.

The previous prime is 230245319. The next prime is 230245361. The reversal of 230245320 is 23542032.

230245320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1599 + ... + 21518.

It is an arithmetic number, because the mean of its divisors is an integer number (10923255).

Almost surely, 2230245320 is an apocalyptic number.

230245320 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 230245320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349544160).

230245320 is an abundant number, since it is smaller than the sum of its proper divisors (468843000).

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

230245320 is a wasteful number, since it uses less digits than its factorization.

230245320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23214 (or 23210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 230245320 is about 15173.8366934668. The cubic root of 230245320 is about 612.9103245274.

Adding to 230245320 its reverse (23542032), we get a palindrome (253787352).

The spelling of 230245320 in words is "two hundred thirty million, two hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 23117 46234 69351 92468 115585 138702 184936 231170 277404 346755 462340 554808 693510 924680 1387020 1918711 2774040 3837422 5756133 7674844 9593555 11512266 15349688 19187110 23024532 28780665 38374220 46049064 57561330 76748440 115122660 230245320