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450114216 = 23318754759
BaseRepresentation
bin11010110101000…
…011001010101000
31011100222011121220
4122311003022220
51410212123331
6112355302040
714103623226
oct3265031250
91140864556
10450114216
11211094522
121068aa920
1372339996
1443acbb16
15297b2296
hex1ad432a8

450114216 has 16 divisors (see below), whose sum is σ = 1125285600. Its totient is φ = 150038064.

The previous prime is 450114211. The next prime is 450114251. The reversal of 450114216 is 612411054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 18754759 = 450114216 / (4 + 5 + 0 + 1 + 1 + 4 + 2 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (450114211) 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 3 ways as a sum of consecutive naturals, for example, 9377356 + ... + 9377403.

It is an arithmetic number, because the mean of its divisors is an integer number (70330350).

Almost surely, 2450114216 is an apocalyptic number.

It is an amenable number.

450114216 is an abundant number, since it is smaller than the sum of its proper divisors (675171384).

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

450114216 is a wasteful number, since it uses less digits than its factorization.

450114216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18754768 (or 18754764 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 450114216 is about 21215.8953617329. The cubic root of 450114216 is about 766.3742600930.

The spelling of 450114216 in words is "four hundred fifty million, one hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 18754759 37509518 56264277 75019036 112528554 150038072 225057108 450114216