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230251320 = 233251349199
BaseRepresentation
bin11011011100101…
…01101100111000
3121001020222102200
431232111230320
5432421020240
634503030200
75464050435
oct1556255470
9531228380
10230251320
11108a75252
126513b360
13389197b0
1422818b8c
1515332930
hexdb95b38

230251320 has 96 divisors (see below), whose sum is σ = 805896000. Its totient is φ = 56676096.

The previous prime is 230251319. The next prime is 230251327. The reversal of 230251320 is 23152032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230251293 and 230251302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230251327) 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, 19920 + ... + 29279.

It is an arithmetic number, because the mean of its divisors is an integer number (8394750).

Almost surely, 2230251320 is an apocalyptic number.

230251320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230251320 is an abundant number, since it is smaller than the sum of its proper divisors (575644680).

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

230251320 is a wasteful number, since it uses less digits than its factorization.

230251320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49229 (or 49222 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230251320 is about 15174.0344009100. The cubic root of 230251320 is about 612.9156484576.

The spelling of 230251320 in words is "two hundred thirty million, two hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 49199 98398 147597 196796 245995 295194 393592 442791 491990 590388 639587 737985 885582 983980 1180776 1279174 1475970 1771164 1918761 1967960 2213955 2558348 2951940 3197935 3542328 3837522 4427910 5116696 5756283 5903880 6395870 7675044 8855820 9593805 11512566 12791740 15350088 17711640 19187610 23025132 25583480 28781415 38375220 46050264 57562830 76750440 115125660 230251320