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230926320 = 24325349919
BaseRepresentation
bin11011100001110…
…10011111110000
3121002112021100200
431300322133300
5433104120240
634525315200
75502561402
oct1560723760
9532467320
10230926320
111093963a9
1265405b00
1338ac4ac1
1422952b72
1515417930
hexdc3a7f0

230926320 has 120 divisors (see below), whose sum is σ = 778596000. Its totient is φ = 61337088.

The previous prime is 230926301. The next prime is 230926327. The reversal of 230926320 is 23629032.

230926320 is a `hidden beast` number, since 23 + 0 + 9 + 2 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230926327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250821 + ... + 251739.

It is an arithmetic number, because the mean of its divisors is an integer number (6488300).

Almost surely, 2230926320 is an apocalyptic number.

230926320 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 230926320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389298000).

230926320 is an abundant number, since it is smaller than the sum of its proper divisors (547669680).

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

230926320 is a wasteful number, since it uses less digits than its factorization.

230926320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230926320 is about 15196.2600662137. The cubic root of 230926320 is about 613.5140010713.

The spelling of 230926320 in words is "two hundred thirty million, nine hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 349 360 698 720 919 1047 1396 1745 1838 2094 2757 2792 3141 3490 3676 4188 4595 5235 5514 5584 6282 6980 7352 8271 8376 9190 10470 11028 12564 13785 13960 14704 15705 16542 16752 18380 20940 22056 25128 27570 27920 31410 33084 36760 41355 41880 44112 50256 55140 62820 66168 73520 82710 83760 110280 125640 132336 165420 220560 251280 320731 330840 641462 661680 962193 1282924 1603655 1924386 2565848 2886579 3207310 3848772 4810965 5131696 5773158 6414620 7697544 9621930 11546316 12829240 14432895 15395088 19243860 23092632 25658480 28865790 38487720 46185264 57731580 76975440 115463160 230926320