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13200220 = 22511292069
BaseRepresentation
bin110010010110…
…101101011100
3220211122022001
4302112231130
511334401340
61150532044
7220125415
oct62265534
926748261
1013200220
1174a6580
124507024
1329723a7
141a7880c
15125b29a
hexc96b5c

13200220 has 48 divisors (see below), whose sum is σ = 31298400. Its totient is φ = 4632320.

The previous prime is 13200199. The next prime is 13200221. The reversal of 13200220 is 2200231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13200197 and 13200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200221) 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 15 ways as a sum of consecutive naturals, for example, 5346 + ... + 7414.

It is an arithmetic number, because the mean of its divisors is an integer number (652050).

Almost surely, 213200220 is an apocalyptic number.

13200220 is a gapful number since it is divisible by the number (10) 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 13200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649200).

13200220 is an abundant number, since it is smaller than the sum of its proper divisors (18098180).

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

13200220 is a wasteful number, since it uses less digits than its factorization.

13200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13200220 is about 3633.2107012944. The cubic root of 13200220 is about 236.3344630482.

Adding to 13200220 its reverse (2200231), we get a palindrome (15400451).

The spelling of 13200220 in words is "thirteen million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 2069 3190 4138 6380 8276 10345 20690 22759 41380 45518 60001 91036 113795 120002 227590 240004 300005 455180 600010 660011 1200020 1320022 2640044 3300055 6600110 13200220