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2206265220 = 2232521535693
BaseRepresentation
bin1000001110000000…
…1110111110000100
312200202110212220200
42003200032332010
514004300441340
61002531530500
7105446642055
oct20340167604
95622425820
102206265220
11a32419795
12516a59a30
132921162a3
1416d02c72c
15cda58330
hex8380ef84

2206265220 has 72 divisors (see below), whose sum is σ = 6696622296. Its totient is φ = 587960832.

The previous prime is 2206265213. The next prime is 2206265221. The reversal of 2206265220 is 225626022.

2206265220 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 2 + 652 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47361924 + 2158903296 = 6882^2 + 46464^2 .

It is not an unprimeable number, because it can be changed into a prime (2206265221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384694 + ... + 390386.

It is an arithmetic number, because the mean of its divisors is an integer number (93008643).

Almost surely, 22206265220 is an apocalyptic number.

2206265220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2206265220 is an abundant number, since it is smaller than the sum of its proper divisors (4490357076).

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

2206265220 is a wasteful number, since it uses less digits than its factorization.

2206265220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2206265220 is about 46970.8975856327. The cubic root of 2206265220 is about 1301.8248966384.

The spelling of 2206265220 in words is "two billion, two hundred six million, two hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2153 4306 5693 6459 8612 10765 11386 12918 17079 19377 21530 22772 25836 28465 32295 34158 38754 43060 51237 56930 64590 68316 77508 85395 96885 102474 113860 129180 170790 193770 204948 256185 341580 387540 512370 1024740 12257029 24514058 36771087 49028116 61285145 73542174 110313261 122570290 147084348 183855435 220626522 245140580 367710870 441253044 551566305 735421740 1103132610 2206265220