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230071320 = 23335213029
BaseRepresentation
bin11011011011010…
…01110000011000
3121000220211112000
431231221300120
5432344240240
634455121000
75462400603
oct1555516030
9530824460
10230071320
11108961a96
1265073160
133888589b
14227ad33a
15152e9430
hexdb69c18

230071320 has 64 divisors (see below), whose sum is σ = 766908000. Its totient is φ = 61352064.

The previous prime is 230071313. The next prime is 230071333. The reversal of 230071320 is 23170032.

230071320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 230071293 and 230071302.

It is a congruent number.

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, 105435 + ... + 107594.

Almost surely, 2230071320 is an apocalyptic number.

230071320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230071320 is an abundant number, since it is smaller than the sum of its proper divisors (536836680).

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

230071320 is a wasteful number, since it uses less digits than its factorization.

230071320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213049 (or 213039 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 230071320 is about 15168.1020566187. The cubic root of 230071320 is about 612.7558903026.

The spelling of 230071320 in words is "two hundred thirty million, seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 213029 426058 639087 852116 1065145 1278174 1704232 1917261 2130290 2556348 3195435 3834522 4260580 5112696 5751783 6390870 7669044 8521160 9586305 11503566 12781740 15338088 19172610 23007132 25563480 28758915 38345220 46014264 57517830 76690440 115035660 230071320