Search a number
-
+
23481220 = 2257179937
BaseRepresentation
bin101100110010…
…0101110000100
31122011222011211
41121210232010
522002344340
62155141204
7403405240
oct131445604
948158154
1023481220
1112288874
127a44804
134b31b19
143193420
1520dc5ea
hex1664b84

23481220 has 48 divisors (see below), whose sum is σ = 56730240. Its totient is φ = 7997184.

The previous prime is 23481209. The next prime is 23481223. The reversal of 23481220 is 2218432.

It is a junction number, because it is equal to n+sod(n) for n = 23481191 and 23481200.

It is not an unprimeable number, because it can be changed into a prime (23481223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24592 + ... + 25528.

It is an arithmetic number, because the mean of its divisors is an integer number (1181880).

Almost surely, 223481220 is an apocalyptic number.

23481220 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 23481220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28365120).

23481220 is an abundant number, since it is smaller than the sum of its proper divisors (33249020).

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

23481220 is a wasteful number, since it uses less digits than its factorization.

23481220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 23481220 is about 4845.7424611715. The cubic root of 23481220 is about 286.3563946648.

Adding to 23481220 its reverse (2218432), we get a palindrome (25699652).

The spelling of 23481220 in words is "twenty-three million, four hundred eighty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 937 1253 1790 1874 2506 3580 3748 4685 5012 6265 6559 9370 12530 13118 18740 25060 26236 32795 65590 131180 167723 335446 670892 838615 1174061 1677230 2348122 3354460 4696244 5870305 11740610 23481220