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220320120 = 2335672409
BaseRepresentation
bin11010010000111…
…01000101111000
3120100120102101110
431020131011320
5422400220440
633510120320
75313455466
oct1510350570
9510512343
10220320120
11103401849
12619500a0
1336850347
1421391836
1514520080
hexd21d178

220320120 has 96 divisors (see below), whose sum is σ = 672613200. Its totient is φ = 57733632.

The previous prime is 220320109. The next prime is 220320127. The reversal of 220320120 is 21023022.

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 = 220320096 and 220320105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220320127) 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, 538476 + ... + 538884.

Almost surely, 2220320120 is an apocalyptic number.

220320120 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 220320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336306600).

220320120 is an abundant number, since it is smaller than the sum of its proper divisors (452293080).

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

220320120 is a wasteful number, since it uses less digits than its factorization.

220320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 486 counting only the distinct ones).

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

The square root of 220320120 is about 14843.1842944834. The cubic root of 220320120 is about 603.9737353899.

Adding to 220320120 its reverse (21023022), we get a palindrome (241343142).

The spelling of 220320120 in words is "two hundred twenty million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 409 536 670 804 818 1005 1227 1340 1608 1636 2010 2045 2454 2680 3272 4020 4090 4489 4908 6135 8040 8180 8978 9816 12270 13467 16360 17956 22445 24540 26934 27403 35912 44890 49080 53868 54806 67335 82209 89780 107736 109612 134670 137015 164418 179560 219224 269340 274030 328836 411045 538680 548060 657672 822090 1096120 1644180 1836001 3288360 3672002 5508003 7344004 9180005 11016006 14688008 18360010 22032012 27540015 36720020 44064024 55080030 73440040 110160060 220320120