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220212220 = 225172311229
BaseRepresentation
bin11010010000000…
…10101111111100
3120100100221101011
431020002233330
5422333242340
633503525004
75312526064
oct1510025774
9510327334
10220212220
11103338778
12618b9764
13368131b7
14213643a4
15144ed0ea
hexd202bfc

220212220 has 72 divisors (see below), whose sum is σ = 507507840. Its totient is φ = 80163840.

The previous prime is 220212217. The next prime is 220212221. The reversal of 220212220 is 22212022.

220212220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220212220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178566 + ... + 179794.

It is an arithmetic number, because the mean of its divisors is an integer number (7048720).

Almost surely, 2220212220 is an apocalyptic number.

220212220 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 220212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253753920).

220212220 is an abundant number, since it is smaller than the sum of its proper divisors (287295620).

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

220212220 is a wasteful number, since it uses less digits than its factorization.

220212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 220212220 is about 14839.5491845271. The cubic root of 220212220 is about 603.8751222030.

Adding to 220212220 its reverse (22212022), we get a palindrome (242424242).

The spelling of 220212220 in words is "two hundred twenty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 289 310 340 527 578 620 1054 1156 1229 1445 2108 2458 2635 2890 4916 5270 5780 6145 8959 10540 12290 17918 20893 24580 35836 38099 41786 44795 76198 83572 89590 104465 152396 179180 190495 208930 355181 380990 417860 647683 710362 761980 1295366 1420724 1775905 2590732 3238415 3551810 6476830 7103620 11010611 12953660 22021222 44042444 55053055 110106110 220212220