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220211120 = 2452752639
BaseRepresentation
bin11010010000000…
…10011110110000
3120100100212212102
431020002132300
5422333223440
633503515532
75312522633
oct1510023660
9510325772
10220211120
11103337968
12618b8ba8
133681284c
1421363c1a
15144ecb15
hexd2027b0

220211120 has 20 divisors (see below), whose sum is σ = 511991040. Its totient is φ = 88084416.

The previous prime is 220211119. The next prime is 220211129. The reversal of 220211120 is 21112022.

It is a happy number.

220211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (220211129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1376240 + ... + 1376399.

It is an arithmetic number, because the mean of its divisors is an integer number (25599552).

Almost surely, 2220211120 is an apocalyptic number.

220211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211120 is an abundant number, since it is smaller than the sum of its proper divisors (291779920).

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

220211120 is a wasteful number, since it uses less digits than its factorization.

220211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752652 (or 2752646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 220211120 is about 14839.5121213603. The cubic root of 220211120 is about 603.8741167127.

Adding to 220211120 its reverse (21112022), we get a palindrome (241323142).

The spelling of 220211120 in words is "two hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2752639 5505278 11010556 13763195 22021112 27526390 44042224 55052780 110105560 220211120