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220011220 = 2251113431789
BaseRepresentation
bin11010001110100…
…01101011010100
3120022222201122201
431013101223110
5422310324340
633455334244
75311031062
oct1507215324
9508881581
10220011220
11103210760
1261821384
1336772870
1421311032
15144ad79a
hexd1d1ad4

220011220 has 96 divisors (see below), whose sum is σ = 555730560. Its totient is φ = 72092160.

The previous prime is 220011199. The next prime is 220011223. The reversal of 220011220 is 22110022.

220011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220011197 and 220011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220011223) 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, 122086 + ... + 123874.

It is an arithmetic number, because the mean of its divisors is an integer number (5788860).

Almost surely, 2220011220 is an apocalyptic number.

220011220 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 220011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277865280).

220011220 is an abundant number, since it is smaller than the sum of its proper divisors (335719340).

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

220011220 is a wasteful number, since it uses less digits than its factorization.

220011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 220011220 is about 14832.7751954919. The cubic root of 220011220 is about 603.6913360836.

Adding to 220011220 its reverse (22110022), we get a palindrome (242121242).

The spelling of 220011220 in words is "two hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 43 44 52 55 65 86 110 130 143 172 215 220 260 286 430 473 559 572 715 860 946 1118 1430 1789 1892 2236 2365 2795 2860 3578 4730 5590 6149 7156 8945 9460 11180 12298 17890 19679 23257 24596 30745 35780 39358 46514 61490 76927 78716 93028 98395 116285 122980 153854 196790 232570 255827 307708 384635 393580 465140 511654 769270 846197 1000051 1023308 1279135 1538540 1692394 2000102 2558270 3384788 4000204 4230985 5000255 5116540 8461970 10000510 11000561 16923940 20001020 22001122 44002244 55002805 110005610 220011220