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233220 = 223513223
BaseRepresentation
bin111000111100000100
3102211220210
4320330010
524430340
64555420
71660641
oct707404
9384823
10233220
1114a249
12b2b70
1382200
1460dc8
1549180
hex38f04

233220 has 72 divisors (see below), whose sum is σ = 737856. Its totient is φ = 54912.

The previous prime is 233201. The next prime is 233221. The reversal of 233220 is 22332.

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 233196 and 233205.

It is not an unprimeable number, because it can be changed into a prime (233221) by changing a digit.

233220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10129 + ... + 10151.

It is an arithmetic number, because the mean of its divisors is an integer number (10248).

2233220 is an apocalyptic number.

233220 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 233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368928).

233220 is an abundant number, since it is smaller than the sum of its proper divisors (504636).

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

233220 is a wasteful number, since it uses less digits than its factorization.

233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 233220 is about 482.9285661462. The cubic root of 233220 is about 61.5538559243.

Adding to 233220 its reverse (22332), we get a palindrome (255552).

The spelling of 233220 in words is "two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 169 195 230 260 276 299 338 345 390 460 507 598 676 690 780 845 897 1014 1196 1380 1495 1690 1794 2028 2535 2990 3380 3588 3887 4485 5070 5980 7774 8970 10140 11661 15548 17940 19435 23322 38870 46644 58305 77740 116610 233220