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214450664 = 23414211553
BaseRepresentation
bin11001100100001…
…00000111101000
3112221112020000012
430302010013220
5414344410124
633140231052
75212541411
oct1462040750
9487466005
10214450664
11100062a5a
125b99b488
13355768ac
14206a4808
1513c60e0e
hexcc841e8

214450664 has 32 divisors (see below), whose sum is σ = 413146440. Its totient is φ = 104294400.

The previous prime is 214450661. The next prime is 214450673. The reversal of 214450664 is 466054412.

214450664 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 19624900 + 194825764 = 4430^2 + 13958^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 214450664.

It is not an unprimeable number, because it can be changed into a prime (214450661) 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, 137312 + ... + 138864.

Almost surely, 2214450664 is an apocalyptic number.

It is an amenable number.

214450664 is a deficient number, since it is larger than the sum of its proper divisors (198695776).

214450664 is a wasteful number, since it uses less digits than its factorization.

214450664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 214450664 is about 14644.1341157475. The cubic root of 214450664 is about 598.5619859088.

The spelling of 214450664 in words is "two hundred fourteen million, four hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 41 82 164 328 421 842 1553 1684 3106 3368 6212 12424 17261 34522 63673 69044 127346 138088 254692 509384 653813 1307626 2615252 5230504 26806333 53612666 107225332 214450664