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214033225 = 5272174721
BaseRepresentation
bin11001100000111…
…10001101001001
3112220202000101111
430300132031021
5414243030400
633123250321
75206152400
oct1460361511
9486660344
10214033225
11aa8a836a
125b8199a1
133545b8a3
14205d6637
1513bcc3ba
hexcc1e349

214033225 has 18 divisors (see below), whose sum is σ = 308733774. Its totient is φ = 146764800.

The previous prime is 214033223. The next prime is 214033229. The reversal of 214033225 is 522330412.

It can be written as a sum of positive squares in 3 ways, for example, as 405769 + 213627456 = 637^2 + 14616^2 .

It is not a de Polignac number, because 214033225 - 21 = 214033223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214033196 and 214033205.

It is not an unprimeable number, because it can be changed into a prime (214033223) 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, 86136 + ... + 88585.

Almost surely, 2214033225 is an apocalyptic number.

214033225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214033225 is a deficient number, since it is larger than the sum of its proper divisors (94700549).

214033225 is a wasteful number, since it uses less digits than its factorization.

214033225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174745 (or 174733 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 214033225 is about 14629.8744013747. The cubic root of 214033225 is about 598.1733566371.

Adding to 214033225 its reverse (522330412), we get a palindrome (736363637).

The spelling of 214033225 in words is "two hundred fourteen million, thirty-three thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 174721 873605 1223047 4368025 6115235 8561329 30576175 42806645 214033225