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450105220 = 22597232013
BaseRepresentation
bin11010110101000…
…000111110000100
31011100221201021201
4122311000332010
51410211331340
6112355152244
714103555055
oct3265007604
91140851251
10450105220
11211088794
121068a5684
1372335866
1443ac872c
15297ae79a
hex1ad40f84

450105220 has 24 divisors (see below), whose sum is σ = 954969624. Its totient is φ = 178185216.

The previous prime is 450105199. The next prime is 450105251. The reversal of 450105220 is 22501054.

It can be written as a sum of positive squares in 4 ways, for example, as 82156096 + 367949124 = 9064^2 + 19182^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 114067 + ... + 117946.

It is an arithmetic number, because the mean of its divisors is an integer number (39790401).

Almost surely, 2450105220 is an apocalyptic number.

It is an amenable number.

450105220 is an abundant number, since it is smaller than the sum of its proper divisors (504864404).

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

450105220 is a wasteful number, since it uses less digits than its factorization.

450105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232119 (or 232117 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 450105220 is about 21215.6833498240. The cubic root of 450105220 is about 766.3691544638.

Adding to 450105220 its reverse (22501054), we get a palindrome (472606274).

The spelling of 450105220 in words is "four hundred fifty million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 232013 464026 928052 1160065 2320130 4640260 22505261 45010522 90021044 112526305 225052610 450105220