Search a number
-
+
230315220 = 223256012129
BaseRepresentation
bin11011011101001…
…01010011010100
3121001101020002100
431232211103110
5432430041340
634504242100
75464434642
oct1556452324
9531336070
10230315220
11109009263
1265170330
133893c8c5
1422834192
1515346830
hexdba54d4

230315220 has 72 divisors (see below), whose sum is σ = 700113960. Its totient is φ = 61286400.

The previous prime is 230315177. The next prime is 230315231. The reversal of 230315220 is 22513032.

It can be written as a sum of positive squares in 4 ways, for example, as 31674384 + 198640836 = 5628^2 + 14094^2 .

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 = 230315193 and 230315202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107116 + ... + 109244.

It is an arithmetic number, because the mean of its divisors is an integer number (9723805).

Almost surely, 2230315220 is an apocalyptic number.

230315220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230315220 is an abundant number, since it is smaller than the sum of its proper divisors (469798740).

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

230315220 is a wasteful number, since it uses less digits than its factorization.

230315220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230315220 is about 15176.1398253970. The cubic root of 230315220 is about 612.9723425769.

Adding to 230315220 its reverse (22513032), we get a palindrome (252828252).

The spelling of 230315220 in words is "two hundred thirty million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 601 1202 1803 2129 2404 3005 3606 4258 5409 6010 6387 7212 8516 9015 10645 10818 12020 12774 18030 19161 21290 21636 25548 27045 31935 36060 38322 42580 54090 63870 76644 95805 108180 127740 191610 383220 1279529 2559058 3838587 5118116 6397645 7677174 11515761 12795290 15354348 19192935 23031522 25590580 38385870 46063044 57578805 76771740 115157610 230315220