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230098860 = 22335601709
BaseRepresentation
bin11011011011100…
…00011110101100
3121000222020022000
431231300132230
5432401130420
634455452300
75462544105
oct1555603654
9530866260
10230098860
11108980752
1265087090
1338895294
14227b93ac
1515302690
hexdb707ac

230098860 has 96 divisors (see below), whose sum is σ = 718065600. Its totient is φ = 61171200.

The previous prime is 230098853. The next prime is 230098861. The reversal of 230098860 is 68890032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230098861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324186 + ... + 324894.

It is an arithmetic number, because the mean of its divisors is an integer number (7479850).

Almost surely, 2230098860 is an apocalyptic number.

230098860 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 230098860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359032800).

230098860 is an abundant number, since it is smaller than the sum of its proper divisors (487966740).

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

230098860 is a wasteful number, since it uses less digits than its factorization.

230098860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 230098860 is about 15169.0098556234. The cubic root of 230098860 is about 612.7803386982.

The spelling of 230098860 in words is "two hundred thirty million, ninety-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 601 709 1202 1418 1803 2127 2404 2836 3005 3545 3606 4254 5409 6010 6381 7090 7212 8508 9015 10635 10818 12020 12762 14180 16227 18030 19143 21270 21636 25524 27045 31905 32454 36060 38286 42540 54090 63810 64908 76572 81135 95715 108180 127620 162270 191430 324540 382860 426109 852218 1278327 1704436 2130545 2556654 3834981 4261090 5113308 6391635 7669962 8522180 11504943 12783270 15339924 19174905 23009886 25566540 38349810 46019772 57524715 76699620 115049430 230098860