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221120 = 265691
BaseRepresentation
bin110101111111000000
3102020022122
4311333000
524033440
64423412
71610444
oct657700
9366278
10221120
11141149
12a7b68
1379853
145a824
15457b5
hex35fc0

221120 has 28 divisors (see below), whose sum is σ = 527304. Its totient is φ = 88320.

The previous prime is 221101. The next prime is 221159. The reversal of 221120 is 21122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 221098 and 221107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 665.

2221120 is an apocalyptic number.

221120 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 221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263652).

221120 is an abundant number, since it is smaller than the sum of its proper divisors (306184).

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

221120 is an equidigital number, since it uses as much as digits as its factorization.

221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

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

The square root of 221120 is about 470.2339843099. The cubic root of 221120 is about 60.4703768644.

Adding to 221120 its reverse (21122), we get a palindrome (242242).

The spelling of 221120 in words is "two hundred twenty-one thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 691 1382 2764 3455 5528 6910 11056 13820 22112 27640 44224 55280 110560 221120