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230255120 = 2456014789
BaseRepresentation
bin11011011100101…
…10101000010000
3121001021011122102
431232112220100
5432421130440
634503055532
75464064504
oct1556265020
9531234572
10230255120
11108a78097
12651415a8
133891b444
142281a304
1515333b15
hexdb96a10

230255120 has 40 divisors (see below), whose sum is σ = 536345880. Its totient is φ = 91929600.

The previous prime is 230255087. The next prime is 230255143. The reversal of 230255120 is 21552032.

It can be written as a sum of positive squares in 4 ways, for example, as 14047504 + 216207616 = 3748^2 + 14704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230255092 and 230255101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45686 + ... + 50474.

It is an arithmetic number, because the mean of its divisors is an integer number (13408647).

Almost surely, 2230255120 is an apocalyptic number.

230255120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230255120 is an abundant number, since it is smaller than the sum of its proper divisors (306090760).

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

230255120 is a wasteful number, since it uses less digits than its factorization.

230255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 230255120 is about 15174.1596142917. The cubic root of 230255120 is about 612.9190202322.

The spelling of 230255120 in words is "two hundred thirty million, two hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 601 1202 2404 3005 4789 4808 6010 9578 9616 12020 19156 23945 24040 38312 47890 48080 76624 95780 191560 383120 2878189 5756378 11512756 14390945 23025512 28781890 46051024 57563780 115127560 230255120