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220522000 = 2453110261
BaseRepresentation
bin11010010010011…
…10011000010000
3120100221200022111
431021032120100
5422423201000
633514315104
75315256166
oct1511163020
9510850274
10220522000
1110352a496
1261a28a94
13368c11ba
1421405236
151455ecba
hexd24e610

220522000 has 40 divisors (see below), whose sum is σ = 533227032. Its totient is φ = 88208000.

The previous prime is 220521947. The next prime is 220522007. The reversal of 220522000 is 225022.

220522000 is digitally balanced in base 3, 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 4 ways, for example, as 7595536 + 212926464 = 2756^2 + 14592^2 .

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

It is not an unprimeable number, because it can be changed into a prime (220522007) 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 7 ways as a sum of consecutive naturals, for example, 53131 + ... + 57130.

Almost surely, 2220522000 is an apocalyptic number.

220522000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220522000 is an abundant number, since it is smaller than the sum of its proper divisors (312705032).

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

220522000 is a wasteful number, since it uses less digits than its factorization.

220522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110284 (or 110268 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 220522000 is about 14849.9831649736. The cubic root of 220522000 is about 604.1581534010.

Adding to 220522000 its reverse (225022), we get a palindrome (220747022).

The spelling of 220522000 in words is "two hundred twenty million, five hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 110261 220522 441044 551305 882088 1102610 1764176 2205220 2756525 4410440 5513050 8820880 11026100 13782625 22052200 27565250 44104400 55130500 110261000 220522000