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220896 = 25321359
BaseRepresentation
bin110101111011100000
3102020000100
4311323200
524032041
64422400
71610004
oct657340
9366010
10220896
11140a65
12a7a00
1379710
145a704
15456b6
hex35ee0

220896 has 72 divisors (see below), whose sum is σ = 687960. Its totient is φ = 66816.

The previous prime is 220889. The next prime is 220897. The reversal of 220896 is 698022.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2208963 = 32335889333649408, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220897) by changing a digit.

220896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3715 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2220896 is an apocalyptic number.

220896 is a gapful number since it is divisible by the number (26) 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 220896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

220896 is an abundant number, since it is smaller than the sum of its proper divisors (467064).

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

220896 is a wasteful number, since it uses less digits than its factorization.

220896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 220896 is about 469.9957446616. The cubic root of 220896 is about 60.4499506390.

It can be divided in two parts, 2208 and 96, that added together give a square (2304 = 482).

The spelling of 220896 in words is "two hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 72 78 96 104 117 118 144 156 177 208 234 236 288 312 354 416 468 472 531 624 708 767 936 944 1062 1248 1416 1534 1872 1888 2124 2301 2832 3068 3744 4248 4602 5664 6136 6903 8496 9204 12272 13806 16992 18408 24544 27612 36816 55224 73632 110448 220896