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220900 = 2252472
BaseRepresentation
bin110101111011100100
3102020000111
4311323210
524032100
64422404
71610011
oct657344
9366014
10220900
11140a69
12a7a04
1379714
145a708
15456ba
hex35ee4

220900 has 27 divisors (see below), whose sum is σ = 489769. Its totient is φ = 86480.

The previous prime is 220897. The next prime is 220901. The reversal of 220900 is 9022.

Multipling 220900 by its product of nonzero digits (36), we get a square (7952400 = 28202).

Adding to 220900 its reverse (9022), we get a palindrome (229922).

It can be divided in two parts, 2 and 20900, that added together give a palindrome (20902).

220900 = T469 + T470.

The square root of 220900 is 470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 141376 = 282^2 + 376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220901) 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 8 ways as a sum of consecutive naturals, for example, 4677 + ... + 4723.

2220900 is an apocalyptic number.

220900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220900 is the 470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220900

220900 is an abundant number, since it is smaller than the sum of its proper divisors (268869).

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

220900 is a wasteful number, since it uses less digits than its factorization.

220900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The cubic root of 220900 is about 60.4503155141.

The spelling of 220900 in words is "two hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2209 2350 4418 4700 8836 11045 22090 44180 55225 110450 220900