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227220 = 22357541
BaseRepresentation
bin110111011110010100
3102112200120
4313132110
524232340
64511540
71634310
oct673624
9375616
10227220
11145794
12ab5b0
137c566
145cb40
15474d0
hex37794

227220 has 48 divisors (see below), whose sum is σ = 728448. Its totient is φ = 51840.

The previous prime is 227219. The next prime is 227231. The reversal of 227220 is 22722.

227220 = T43 + T44 + ... + T112.

227220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2272203 = 35193375333144000, which contains 333 as substring.

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 227220.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 150 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (15176).

2227220 is an apocalyptic number.

227220 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 227220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364224).

227220 is an abundant number, since it is smaller than the sum of its proper divisors (501228).

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

227220 is a wasteful number, since it uses less digits than its factorization.

227220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 227220 is about 476.6759905848. The cubic root of 227220 is about 61.0214025051.

Adding to 227220 its reverse (22722), we get a palindrome (249942).

The spelling of 227220 in words is "two hundred twenty-seven thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 541 1082 1623 2164 2705 3246 3787 5410 6492 7574 8115 10820 11361 15148 16230 18935 22722 32460 37870 45444 56805 75740 113610 227220