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220323220 = 225135931429
BaseRepresentation
bin11010010000111…
…01110110010100
3120100120120122021
431020131312110
5422400320340
633510142524
75313500515
oct1510356624
9510516567
10220323220
11103404107
1261951a44
1336851890
1421392a0c
1514520e4a
hexd21dd94

220323220 has 48 divisors (see below), whose sum is σ = 499458960. Its totient is φ = 81156096.

The previous prime is 220323167. The next prime is 220323223. The reversal of 220323220 is 22323022.

220323220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45131524 + 175191696 = 6718^2 + 13236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220323194 and 220323203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220323223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153466 + ... + 154894.

It is an arithmetic number, because the mean of its divisors is an integer number (10405395).

Almost surely, 2220323220 is an apocalyptic number.

220323220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220323220 is an abundant number, since it is smaller than the sum of its proper divisors (279135740).

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

220323220 is a wasteful number, since it uses less digits than its factorization.

220323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 220323220 is about 14843.2887191485. The cubic root of 220323220 is about 603.9765681011.

Adding to 220323220 its reverse (22323022), we get a palindrome (242646242).

It can be divided in two parts, 22032 and 3220, that added together give a palindrome (25252).

The spelling of 220323220 in words is "two hundred twenty million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 593 1186 1429 2372 2858 2965 5716 5930 7145 7709 11860 14290 15418 18577 28580 30836 37154 38545 74308 77090 92885 154180 185770 371540 847397 1694794 3389588 4236985 8473970 11016161 16947940 22032322 44064644 55080805 110161610 220323220