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2214201220 = 2257211205399
BaseRepresentation
bin1000001111111010…
…0000011110000100
312201022102002001121
42003332200132010
514013313414340
61003414003324
7105604254100
oct20376403604
95638362047
102214201220
11a3694a170
12519646544
1329396454a
141700d6900
15ce5c494a
hex83fa0784

2214201220 has 72 divisors (see below), whose sum is σ = 5900731200. Its totient is φ = 690137280.

The previous prime is 2214201217. The next prime is 2214201221. The reversal of 2214201220 is 221024122.

It is a super-3 number, since 3×22142012203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2214201194 and 2214201203.

It is not an unprimeable number, because it can be changed into a prime (2214201221) 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, 91920 + ... + 113479.

It is an arithmetic number, because the mean of its divisors is an integer number (81954600).

Almost surely, 22214201220 is an apocalyptic number.

2214201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214201220 is an abundant number, since it is smaller than the sum of its proper divisors (3686529980).

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

2214201220 is a wasteful number, since it uses less digits than its factorization.

2214201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205433 (or 205424 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2214201220 is about 47055.2995952634. The cubic root of 2214201220 is about 1303.3839294741.

Adding to 2214201220 its reverse (221024122), we get a palindrome (2435225342).

The spelling of 2214201220 in words is "two billion, two hundred fourteen million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 205399 410798 821596 1026995 1437793 2053990 2259389 2875586 4107980 4518778 5751172 7188965 9037556 10064551 11296945 14377930 15815723 20129102 22593890 28755860 31631446 40258204 45187780 50322755 63262892 79078615 100645510 110710061 158157230 201291020 221420122 316314460 442840244 553550305 1107100610 2214201220