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220111120 = 2455351913
BaseRepresentation
bin11010001111010…
…10000100010000
3120100011210200201
431013222010100
5422322023440
633501424544
75311625245
oct1507520420
9510153621
10220111120
11103279819
126186b154
13367a9188
14213395cc
15144cd19a
hexd1ea110

220111120 has 40 divisors (see below), whose sum is σ = 521424216. Its totient is φ = 86381568.

The previous prime is 220111097. The next prime is 220111153. The reversal of 220111120 is 21111022.

It can be written as a sum of positive squares in 4 ways, for example, as 34715664 + 185395456 = 5892^2 + 13616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 220111097 and 220111106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21717 + ... + 30196.

Almost surely, 2220111120 is an apocalyptic number.

220111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220111120 is an abundant number, since it is smaller than the sum of its proper divisors (301313096).

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

220111120 is a wasteful number, since it uses less digits than its factorization.

220111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51979 (or 51973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 220111120 is about 14836.1423557473. The cubic root of 220111120 is about 603.7826945132.

Adding to 220111120 its reverse (21111022), we get a palindrome (241222142).

The spelling of 220111120 in words is "two hundred twenty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 51913 103826 207652 259565 415304 519130 830608 1038260 2076520 2751389 4153040 5502778 11005556 13756945 22011112 27513890 44022224 55027780 110055560 220111120