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214450165000 = 235442890033
BaseRepresentation
bin1100011110111000111…
…0011101010100001000
3202111112101211010100201
43013232032131110020
512003143220240000
6242303403141544
721331163216641
oct3075616352410
9674471733321
10214450165000
1182a47589025
123568ab148b4
13172b7c84b76
14a54529a6c8
1558a1d7996a
hex31ee39d508

214450165000 has 40 divisors (see below), whose sum is σ = 502456748310. Its totient is φ = 85780064000.

The previous prime is 214450164997. The next prime is 214450165057. The reversal of 214450165000 is 561054412.

214450165000 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 5 ways, for example, as 94128804 + 214356036196 = 9702^2 + 462986^2 .

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 214450165000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21440017 + ... + 21450016.

Almost surely, 2214450165000 is an apocalyptic number.

214450165000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214450165000 is an abundant number, since it is smaller than the sum of its proper divisors (288006583310).

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

214450165000 is an equidigital number, since it uses as much as digits as its factorization.

214450165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42890059 (or 42890040 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 214450165000 in words is "two hundred fourteen billion, four hundred fifty million, one hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 42890033 85780066 171560132 214450165 343120264 428900330 857800660 1072250825 1715601320 2144501650 4289003300 5361254125 8578006600 10722508250 21445016500 26806270625 42890033000 53612541250 107225082500 214450165000