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220445000 = 235444089
BaseRepresentation
bin11010010001110…
…11100101001000
3120100210202200122
431020323211020
5422413220000
633512522412
75314515536
oct1510734510
9510722618
10220445000
11103487656
12619b0408
1336895139
14213c5156
1514547085
hexd23b948

220445000 has 40 divisors (see below), whose sum is σ = 516514350. Its totient is φ = 88176000.

The previous prime is 220444957. The next prime is 220445003. The reversal of 220445000 is 544022.

It can be written as a sum of positive squares in 5 ways, for example, as 1582564 + 218862436 = 1258^2 + 14794^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 220445000.

It is not an unprimeable number, because it can be changed into a prime (220445003) 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 9 ways as a sum of consecutive naturals, for example, 17045 + ... + 27044.

Almost surely, 2220445000 is an apocalyptic number.

220445000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220445000 is an abundant number, since it is smaller than the sum of its proper divisors (296069350).

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

220445000 is an equidigital number, since it uses as much as digits as its factorization.

220445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44115 (or 44096 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 220445000 is about 14847.3903430872. The cubic root of 220445000 is about 604.0878269432.

Adding to 220445000 its reverse (544022), we get a palindrome (220989022).

The spelling of 220445000 in words is "two hundred twenty million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 44089 88178 176356 220445 352712 440890 881780 1102225 1763560 2204450 4408900 5511125 8817800 11022250 22044500 27555625 44089000 55111250 110222500 220445000