Search a number
-
+
232301220 = 223519203773
BaseRepresentation
bin11011101100010…
…10001010100100
3121012010010100220
431312022022210
5433432114340
635015004340
75520346014
oct1566121244
9535103326
10232301220
1110a145388
12659696b0
1339186858
1422bcdc44
15155d9ed0
hexdd8a2a4

232301220 has 48 divisors (see below), whose sum is σ = 684680640. Its totient is φ = 58686336.

The previous prime is 232301189. The next prime is 232301221. The reversal of 232301220 is 22103232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232301220.

It is not an unprimeable number, because it can be changed into a prime (232301221) by changing a digit.

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, 100747 + ... + 103026.

It is an arithmetic number, because the mean of its divisors is an integer number (14264180).

Almost surely, 2232301220 is an apocalyptic number.

232301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232301220 is an abundant number, since it is smaller than the sum of its proper divisors (452379420).

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

232301220 is a wasteful number, since it uses less digits than its factorization.

232301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203804 (or 203802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232301220 is about 15241.4310351751. The cubic root of 232301220 is about 614.7291821035.

Adding to 232301220 its reverse (22103232), we get a palindrome (254404452).

The spelling of 232301220 in words is "two hundred thirty-two million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 203773 407546 611319 815092 1018865 1222638 2037730 2445276 3056595 3871687 4075460 6113190 7743374 11615061 12226380 15486748 19358435 23230122 38716870 46460244 58075305 77433740 116150610 232301220