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214021233 = 3223244953
BaseRepresentation
bin11001100000110…
…11010001110001
3112220201101221100
430300123101301
5414242134413
633123115013
75206102416
oct1460332161
9486641840
10214021233
11aa89a358
125b812a69
13354562aa
14205d210d
1513bc8a73
hexcc1b471

214021233 has 18 divisors (see below), whose sum is σ = 323174306. Its totient is φ = 136474272.

The previous prime is 214021229. The next prime is 214021253. The reversal of 214021233 is 332120412.

It can be written as a sum of positive squares in only one way, i.e., 213978384 + 42849 = 14628^2 + 207^2 .

It is not a de Polignac number, because 214021233 - 22 = 214021229 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214021253) 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 17 ways as a sum of consecutive naturals, for example, 17716 + ... + 27237.

Almost surely, 2214021233 is an apocalyptic number.

214021233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

214021233 is a deficient number, since it is larger than the sum of its proper divisors (109153073).

214021233 is a wasteful number, since it uses less digits than its factorization.

214021233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45005 (or 44979 counting only the distinct ones).

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

The square root of 214021233 is about 14629.4645493265. The cubic root of 214021233 is about 598.1621848064.

Adding to 214021233 its reverse (332120412), we get a palindrome (546141645).

The spelling of 214021233 in words is "two hundred fourteen million, twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 23 69 207 529 1587 4761 44953 134859 404577 1033919 3101757 9305271 23780137 71340411 214021233