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230210220 = 22352327253
BaseRepresentation
bin11011011100010…
…11101010101100
3121001011220001110
431232023222230
5432413211340
634502112020
75463516552
oct1556135254
9531156043
10230210220
11108a47389
126511b610
1338903b86
1422807bd2
1515325680
hexdb8baac

230210220 has 72 divisors (see below), whose sum is σ = 673925616. Its totient is φ = 58712192.

The previous prime is 230210143. The next prime is 230210231. The reversal of 230210220 is 22012032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 230210196 and 230210205.

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, 28114 + ... + 35366.

It is an arithmetic number, because the mean of its divisors is an integer number (9360078).

Almost surely, 2230210220 is an apocalyptic number.

230210220 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 230210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336962808).

230210220 is an abundant number, since it is smaller than the sum of its proper divisors (443715396).

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

230210220 is a wasteful number, since it uses less digits than its factorization.

230210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7311 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230210220 is about 15172.6800533063. The cubic root of 230210220 is about 612.8791776827.

Adding to 230210220 its reverse (22012032), we get a palindrome (252222252).

The spelling of 230210220 in words is "two hundred thirty million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 529 690 1058 1380 1587 2116 2645 3174 5290 6348 7253 7935 10580 14506 15870 21759 29012 31740 36265 43518 72530 87036 108795 145060 166819 217590 333638 435180 500457 667276 834095 1000914 1668190 2001828 2502285 3336380 3836837 5004570 7673674 10009140 11510511 15347348 19184185 23021022 38368370 46042044 57552555 76736740 115105110 230210220