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220920200 = 235210512
BaseRepresentation
bin11010010101011…
…11100110001000
3120101200220112122
431022233212020
5423023421300
633531030412
75321535134
oct1512574610
9511626478
10220920200
11103781686
1261b9b408
1336a00517
14214aa3c4
15145dcc85
hexd2af988

220920200 has 36 divisors (see below), whose sum is σ = 514128645. Its totient is φ = 88284000.

The previous prime is 220920199. The next prime is 220920209. The reversal of 220920200 is 2029022.

It is a happy number.

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.

220920200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 216501796 + 4418404 = 14714^2 + 2102^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10510.

It is not an unprimeable number, because it can be changed into a prime (220920209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 209675 + ... + 210725.

Almost surely, 2220920200 is an apocalyptic number.

220920200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220920200 is an abundant number, since it is smaller than the sum of its proper divisors (293208445).

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

220920200 is an equidigital number, since it uses as much as digits as its factorization.

220920200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 220920200 is about 14863.3845405412. The cubic root of 220920200 is about 604.5215806599.

Adding to 220920200 its reverse (2029022), we get a palindrome (222949222).

The spelling of 220920200 in words is "two hundred twenty million, nine hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1051 2102 4204 5255 8408 10510 21020 26275 42040 52550 105100 210200 1104601 2209202 4418404 5523005 8836808 11046010 22092020 27615025 44184040 55230050 110460100 220920200