Search a number
-
+
230902560 = 25325722907
BaseRepresentation
bin11011100001101…
…00101100100000
3121002111001202200
431300310230200
5433102340220
634525013200
75502432210
oct1560645440
9532431680
10230902560
1110937a569
12653b4200
1338ab7045
1422948240
1515410890
hexdc34b20

230902560 has 144 divisors (see below), whose sum is σ = 900559296. Its totient is φ = 52775424.

The previous prime is 230902549. The next prime is 230902571. The reversal of 230902560 is 65209032.

It is an interprime number because it is at equal distance from previous prime (230902549) and next prime (230902571).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374 + ... + 21533.

It is an arithmetic number, because the mean of its divisors is an integer number (6253884).

Almost surely, 2230902560 is an apocalyptic number.

230902560 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 230902560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450279648).

230902560 is an abundant number, since it is smaller than the sum of its proper divisors (669656736).

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

230902560 is a wasteful number, since it uses less digits than its factorization.

230902560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22935 (or 22924 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 230902560 is about 15195.4782748027. The cubic root of 230902560 is about 613.4929588725.

The spelling of 230902560 in words is "two hundred thirty million, nine hundred two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 22907 45814 68721 91628 114535 137442 160349 183256 206163 229070 274884 320698 343605 366512 412326 458140 481047 549768 641396 687210 733024 801745 824652 916280 962094 1030815 1099536 1282792 1374420 1443141 1603490 1649304 1832560 1924188 2061630 2199072 2405235 2565584 2748840 2886282 3206980 3298608 3665120 3848376 4123260 4810470 5131168 5497680 5772564 6413960 6597216 7215705 7696752 8246520 9620940 10995360 11545128 12827920 14431410 15393504 16493040 19241880 23090256 25655840 28862820 32986080 38483760 46180512 57725640 76967520 115451280 230902560