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230200520 = 235114431181
BaseRepresentation
bin11011011100010…
…01010011001000
3121001011101202012
431232021103020
5432412404040
634501555052
75463446354
oct1556112310
9531141665
10230200520
11108a40070
1265115a88
13388cc634
1422804464
1515322865
hexdb894c8

230200520 has 64 divisors (see below), whose sum is σ = 566792640. Its totient is φ = 83449600.

The previous prime is 230200511. The next prime is 230200559. The reversal of 230200520 is 25002032.

It is a junction number, because it is equal to n+sod(n) for n = 230200495 and 230200504.

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 15 ways as a sum of consecutive naturals, for example, 194330 + ... + 195510.

It is an arithmetic number, because the mean of its divisors is an integer number (8856135).

Almost surely, 2230200520 is an apocalyptic number.

230200520 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 230200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283396320).

230200520 is an abundant number, since it is smaller than the sum of its proper divisors (336592120).

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

230200520 is a wasteful number, since it uses less digits than its factorization.

230200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 230200520 is about 15172.3603964578. The cubic root of 230200520 is about 612.8705695918.

Adding to 230200520 its reverse (25002032), we get a palindrome (255202552).

The spelling of 230200520 in words is "two hundred thirty million, two hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 443 886 1181 1772 2215 2362 3544 4430 4724 4873 5905 8860 9448 9746 11810 12991 17720 19492 23620 24365 25982 38984 47240 48730 51964 64955 97460 103928 129910 194920 259820 519640 523183 1046366 2092732 2615915 4185464 5231830 5755013 10463660 11510026 20927320 23020052 28775065 46040104 57550130 115100260 230200520