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220668 = 22373771
BaseRepresentation
bin110101110111111100
3102012200220
4311313330
524030133
64421340
71606230
oct656774
9365626
10220668
11140878
12a7850
1379596
145a5c0
15455b3
hex35dfc

220668 has 48 divisors (see below), whose sum is σ = 612864. Its totient is φ = 60480.

The previous prime is 220667. The next prime is 220673. The reversal of 220668 is 866022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220663) 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, 3073 + ... + 3143.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2220668 is an apocalyptic number.

220668 is a gapful number since it is divisible by the number (28) 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 220668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306432).

220668 is an abundant number, since it is smaller than the sum of its proper divisors (392196).

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

220668 is a wasteful number, since it uses less digits than its factorization.

220668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 220668 is about 469.7531266527. The cubic root of 220668 is about 60.4291454736.

It can be divided in two parts, 220 and 668, that added together give a palindrome (888).

The spelling of 220668 in words is "two hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 71 74 84 111 142 148 213 222 259 284 426 444 497 518 777 852 994 1036 1491 1554 1988 2627 2982 3108 5254 5964 7881 10508 15762 18389 31524 36778 55167 73556 110334 220668