Search a number
-
+
246103220 = 2251117232861
BaseRepresentation
bin11101010101100…
…11110010110100
3122011002100011002
432222303302310
51001000300340
640230502432
76045562046
oct1652636264
9564070132
10246103220
11116a11aa0
126a504a18
133bca9b0c
1424983a96
1516914715
hexeab3cb4

246103220 has 96 divisors (see below), whose sum is σ = 623137536. Its totient is φ = 80537600.

The previous prime is 246103213. The next prime is 246103229. The reversal of 246103220 is 22301642.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 246103192 and 246103201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246103229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84590 + ... + 87450.

It is an arithmetic number, because the mean of its divisors is an integer number (6491016).

Almost surely, 2246103220 is an apocalyptic number.

246103220 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 246103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311568768).

246103220 is an abundant number, since it is smaller than the sum of its proper divisors (377034316).

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

246103220 is a wasteful number, since it uses less digits than its factorization.

246103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 246103220 is about 15687.6773296750. The cubic root of 246103220 is about 626.6702800204.

Adding to 246103220 its reverse (22301642), we get a palindrome (268404862).

The spelling of 246103220 in words is "two hundred forty-six million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1265 1564 1870 1955 2530 2861 3740 3910 4301 5060 5722 7820 8602 11444 14305 17204 21505 28610 31471 43010 48637 57220 62942 65803 86020 97274 125884 131606 157355 194548 243185 263212 314710 329015 486370 535007 629420 658030 723833 972740 1070014 1118651 1316060 1447666 2140028 2237302 2675035 2895332 3619165 4474604 5350070 5593255 7238330 10700140 11186510 12305161 14476660 22373020 24610322 49220644 61525805 123051610 246103220