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230333220 = 223451310937
BaseRepresentation
bin11011011101010…
…01101100100100
3121001102010210000
431232221230210
5432431130340
634504501300
75464541265
oct1556515444
9531363700
10230333220
11109020837
126517a830
1338947b60
142283a96c
151534bd30
hexdba9b24

230333220 has 120 divisors (see below), whose sum is σ = 778216824. Its totient is φ = 56692224.

The previous prime is 230333183. The next prime is 230333249. The reversal of 230333220 is 22333032.

It can be written as a sum of positive squares in 4 ways, for example, as 37234404 + 193098816 = 6102^2 + 13896^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230333193 and 230333202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15592 + ... + 26528.

Almost surely, 2230333220 is an apocalyptic number.

230333220 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 230333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389108412).

230333220 is an abundant number, since it is smaller than the sum of its proper divisors (547883604).

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

230333220 is a wasteful number, since it uses less digits than its factorization.

230333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10971 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230333220 is about 15176.7328499911. The cubic root of 230333220 is about 612.9883108583.

Adding to 230333220 its reverse (22333032), we get a palindrome (252666252).

The spelling of 230333220 in words is "two hundred thirty million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 10937 21060 21874 32811 43748 54685 65622 98433 109370 131244 142181 164055 196866 218740 284362 295299 328110 393732 426543 492165 568724 590598 656220 710905 853086 885897 984330 1181196 1279629 1421810 1476495 1706172 1771794 1968660 2132715 2559258 2843620 2952990 3543588 3838887 4265430 4429485 5118516 5905980 6398145 7677774 8530860 8858970 11516661 12796290 15355548 17717940 19194435 23033322 25592580 38388870 46066644 57583305 76777740 115166610 230333220