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230980320 = 25325160403
BaseRepresentation
bin11011100010001…
…11101011100000
3121002122000102200
431301013223200
5433112332240
634530413200
75503205004
oct1561075340
9532560380
10230980320
11109422a2a
1265431200
1338b1355c
1422968704
1515428930
hexdc47ae0

230980320 has 72 divisors (see below), whose sum is σ = 788225256. Its totient is φ = 61594368.

The previous prime is 230980303. The next prime is 230980327. The reversal of 230980320 is 23089032.

230980320 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230980327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78762 + ... + 81641.

It is an arithmetic number, because the mean of its divisors is an integer number (10947573).

Almost surely, 2230980320 is an apocalyptic number.

230980320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230980320 is an abundant number, since it is smaller than the sum of its proper divisors (557244936).

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

230980320 is a wasteful number, since it uses less digits than its factorization.

230980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160424 (or 160413 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230980320 is about 15198.0367153129. The cubic root of 230980320 is about 613.5618188833.

The spelling of 230980320 in words is "two hundred thirty million, nine hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 160403 320806 481209 641612 802015 962418 1283224 1443627 1604030 1924836 2406045 2566448 2887254 3208060 3849672 4812090 5132896 5774508 6416120 7218135 7699344 9624180 11549016 12832240 14436270 15398688 19248360 23098032 25664480 28872540 38496720 46196064 57745080 76993440 115490160 230980320