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214006032 = 24321486153
BaseRepresentation
bin11001100000101…
…11100100010000
3112220200122002100
430300113210100
5414241143112
633122520400
75206010202
oct1460274420
9486618070
10214006032
11aa889999
125b806100
133544c3b6
14205ca772
1513bc42dc
hexcc17910

214006032 has 30 divisors (see below), whose sum is σ = 598920062. Its totient is φ = 71335296.

The previous prime is 214006031. The next prime is 214006033. The reversal of 214006032 is 230600412.

It is a happy number.

214006032 is a `hidden beast` number, since 21 + 40 + 0 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (214006031) and next prime (214006033).

It can be written as a sum of positive squares in only one way, i.e., 198133776 + 15872256 = 14076^2 + 3984^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 214005996 and 214006014.

It is not an unprimeable number, because it can be changed into a prime (214006031) 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 5 ways as a sum of consecutive naturals, for example, 742933 + ... + 743220.

Almost surely, 2214006032 is an apocalyptic number.

It is an amenable number.

214006032 is an abundant number, since it is smaller than the sum of its proper divisors (384914030).

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

214006032 is a wasteful number, since it uses less digits than its factorization.

214006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486167 (or 1486158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214006032 is about 14628.9450063906. The cubic root of 214006032 is about 598.1480228492.

Adding to 214006032 its reverse (230600412), we get a palindrome (444606444).

The spelling of 214006032 in words is "two hundred fourteen million, six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1486153 2972306 4458459 5944612 8916918 11889224 13375377 17833836 23778448 26750754 35667672 53501508 71335344 107003016 214006032