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220120120 = 235112321751
BaseRepresentation
bin11010001111011…
…00010000111000
3120100012021001001
431013230100320
5422322320440
633501534344
75311663423
oct1507542070
9510167031
10220120120
11103285560
12618743b4
13367b02bc
142133c9ba
15144d0b9a
hexd1ec438

220120120 has 64 divisors (see below), whose sum is σ = 563811840. Its totient is φ = 76560000.

The previous prime is 220120081. The next prime is 220120127. The reversal of 220120120 is 21021022.

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 = 220120097 and 220120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120127) 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, 756 + ... + 20995.

It is an arithmetic number, because the mean of its divisors is an integer number (8809560).

Almost surely, 2220120120 is an apocalyptic number.

220120120 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 220120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281905920).

220120120 is an abundant number, since it is smaller than the sum of its proper divisors (343691720).

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

220120120 is a wasteful number, since it uses less digits than its factorization.

220120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21796 (or 21792 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 220120120 is about 14836.4456659943. The cubic root of 220120120 is about 603.7909236449.

Adding to 220120120 its reverse (21021022), we get a palindrome (241141142).

The spelling of 220120120 in words is "two hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 21751 43502 87004 108755 174008 217510 239261 435020 478522 500273 870040 957044 1000546 1196305 1914088 2001092 2392610 2501365 4002184 4785220 5002730 5503003 9570440 10005460 11006006 20010920 22012012 27515015 44024024 55030030 110060060 220120120