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230663020 = 22573374889
BaseRepresentation
bin11011011111110…
…10001101101100
3121002000220011211
431233322031230
5433022204040
634515524204
75500413640
oct1557721554
9532026154
10230663020
111092265a5
12652b9664
1338a31cc3
14228c4c20
15153b48ea
hexdbfa36c

230663020 has 48 divisors (see below), whose sum is σ = 555347520. Its totient is φ = 78833664.

The previous prime is 230662973. The next prime is 230663029. The reversal of 230663020 is 20366032.

It is a junction number, because it is equal to n+sod(n) for n = 230662982 and 230663000.

It is not an unprimeable number, because it can be changed into a prime (230663029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44736 + ... + 49624.

It is an arithmetic number, because the mean of its divisors is an integer number (11569740).

Almost surely, 2230663020 is an apocalyptic number.

230663020 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 230663020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277673760).

230663020 is an abundant number, since it is smaller than the sum of its proper divisors (324684500).

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

230663020 is a wasteful number, since it uses less digits than its factorization.

230663020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 230663020 is about 15187.5942795428. The cubic root of 230663020 is about 613.2807381123.

The spelling of 230663020 in words is "two hundred thirty million, six hundred sixty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 337 674 1348 1685 2359 3370 4718 4889 6740 9436 9778 11795 19556 23590 24445 34223 47180 48890 68446 97780 136892 171115 342230 684460 1647593 3295186 6590372 8237965 11533151 16475930 23066302 32951860 46132604 57665755 115331510 230663020