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220013220 = 22357607863
BaseRepresentation
bin11010001110100…
…10001010100100
3120022222211101210
431013102022210
5422310410340
633455351420
75311036650
oct1507221244
9508884353
10220013220
11103212209
1261822570
133677374b
1421311a60
15144ae180
hexd1d22a4

220013220 has 96 divisors (see below), whose sum is σ = 706019328. Its totient is φ = 50147712.

The previous prime is 220013219. The next prime is 220013221. The reversal of 220013220 is 22310022.

It is an interprime number because it is at equal distance from previous prime (220013219) and next prime (220013221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220013196 and 220013205.

It is not an unprimeable number, because it can be changed into a prime (220013221) 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, 254509 + ... + 255371.

It is an arithmetic number, because the mean of its divisors is an integer number (7354368).

Almost surely, 2220013220 is an apocalyptic number.

220013220 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 220013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353009664).

220013220 is an abundant number, since it is smaller than the sum of its proper divisors (486006108).

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

220013220 is a wasteful number, since it uses less digits than its factorization.

220013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220013220 is about 14832.8426136058. The cubic root of 220013220 is about 603.6931653524.

Adding to 220013220 its reverse (22310022), we get a palindrome (242323242).

The spelling of 220013220 in words is "two hundred twenty million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 607 863 1214 1726 1821 2428 2589 3035 3452 3642 4249 4315 5178 6041 6070 7284 8498 8630 9105 10356 12082 12140 12747 12945 16996 17260 18123 18210 21245 24164 25494 25890 30205 36246 36420 42490 50988 51780 60410 63735 72492 84980 90615 120820 127470 181230 254940 362460 523841 1047682 1571523 2095364 2619205 3143046 3666887 5238410 6286092 7333774 7857615 10476820 11000661 14667548 15715230 18334435 22001322 31430460 36668870 44002644 55003305 73337740 110006610 220013220