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13322220 = 22351737353
BaseRepresentation
bin110010110100…
…011111101100
3221001211122120
4302310133230
511402302340
61153312540
7221144202
oct62643754
927054576
1013322220
11757a1aa
124565750
1329b5a92
141aab072
1512824d0
hexcb47ec

13322220 has 96 divisors (see below), whose sum is σ = 40678848. Its totient is φ = 3244032.

The previous prime is 13322209. The next prime is 13322233. The reversal of 13322220 is 2222331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13322220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37564 + ... + 37916.

It is an arithmetic number, because the mean of its divisors is an integer number (423738).

Almost surely, 213322220 is an apocalyptic number.

13322220 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 13322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339424).

13322220 is an abundant number, since it is smaller than the sum of its proper divisors (27356628).

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

13322220 is a wasteful number, since it uses less digits than its factorization.

13322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13322220 is about 3649.9616436341. The cubic root of 13322220 is about 237.0603204186.

Adding to 13322220 its reverse (2222331), we get a palindrome (15544551).

The spelling of 13322220 in words is "thirteen million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 353 370 444 510 555 629 706 740 1020 1059 1110 1258 1412 1765 1887 2118 2220 2516 3145 3530 3774 4236 5295 6001 6290 7060 7548 9435 10590 12002 12580 13061 18003 18870 21180 24004 26122 30005 36006 37740 39183 52244 60010 65305 72012 78366 90015 120020 130610 156732 180030 195915 222037 261220 360060 391830 444074 666111 783660 888148 1110185 1332222 2220370 2664444 3330555 4440740 6661110 13322220