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220220208 = 2435134357
BaseRepresentation
bin11010010000001…
…00101100110000
3120100101100100000
431020010230300
5422334021313
633504030000
75312561265
oct1510045460
9510340300
10220220208
1110334377a
1261902300
1336816a20
142136726c
1514500673
hexd204b30

220220208 has 120 divisors (see below), whose sum is σ = 688459408. Its totient is φ = 67744512.

The previous prime is 220220201. The next prime is 220220213. The reversal of 220220208 is 802022022.

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

It is not an unprimeable number, because it can be changed into a prime (220220201) 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, 48366 + ... + 52722.

Almost surely, 2220220208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344229704).

220220208 is an abundant number, since it is smaller than the sum of its proper divisors (468239200).

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

220220208 is a wasteful number, since it uses less digits than its factorization.

220220208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220220208 is about 14839.8183277289. The cubic root of 220220208 is about 603.8824237901.

The spelling of 220220208 in words is "two hundred twenty million, two hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 4357 5616 6318 8424 8714 12636 13071 16848 17428 25272 26142 34856 39213 50544 52284 56641 69712 78426 104568 113282 117639 156852 169923 209136 226564 235278 313704 339846 352917 453128 470556 509769 627408 679692 705834 906256 941112 1019538 1058751 1359384 1411668 1529307 1882224 2039076 2117502 2718768 2823336 3058614 4078152 4235004 4587921 5646672 6117228 8156304 8470008 9175842 12234456 13763763 16940016 18351684 24468912 27527526 36703368 55055052 73406736 110110104 220220208