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220500 = 22325372
BaseRepresentation
bin110101110101010100
3102012110200
4311311110
524024000
64420500
71605600
oct656524
9365420
10220500
11140735
12a7730
1379497
145a500
1545500
hex35d54

220500 has 108 divisors (see below), whose sum is σ = 809172. Its totient is φ = 50400.

The previous prime is 220471. The next prime is 220511. The reversal of 220500 is 5022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220500 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 213444 = 84^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31497 + ... + 31503.

2220500 is an apocalyptic number.

220500 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 220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404586).

220500 is an abundant number, since it is smaller than the sum of its proper divisors (588672).

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

220500 is a wasteful number, since it uses less digits than its factorization.

220500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 220500 is about 469.5742752750. The cubic root of 220500 is about 60.4138061798.

Multiplying 220500 by its product of nonzero digits (20), we get a square (4410000 = 21002).

220500 divided by its product of nonzero digits (20) gives a square (11025 = 1052).

Adding to 220500 its reverse (5022), we get a palindrome (225522).

It can be divided in two parts, 2 and 20500, that added together give a palindrome (20502).

The spelling of 220500 in words is "two hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 49 50 60 63 70 75 84 90 98 100 105 125 126 140 147 150 175 180 196 210 225 245 250 252 294 300 315 350 375 420 441 450 490 500 525 588 630 700 735 750 875 882 900 980 1050 1125 1225 1260 1470 1500 1575 1750 1764 2100 2205 2250 2450 2625 2940 3150 3500 3675 4410 4500 4900 5250 6125 6300 7350 7875 8820 10500 11025 12250 14700 15750 18375 22050 24500 31500 36750 44100 55125 73500 110250 220500