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212400225 = 355234963
BaseRepresentation
bin11001010100011…
…11100001100001
3112210200001100000
430222033201201
5413333301400
633024250213
75156241432
oct1452174141
9483601300
10212400225
11a9992484
125b170969
133500950b
14202cd489
15139a8600
hexca8f861

212400225 has 36 divisors (see below), whose sum is σ = 394533776. Its totient is φ = 113276880.

The previous prime is 212400211. The next prime is 212400229. The reversal of 212400225 is 522004212.

It is not a de Polignac number, because 212400225 - 29 = 212399713 is a prime.

It is a super-2 number, since 2×2124002252 = 90227711160101250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212400198 and 212400207.

It is not an unprimeable number, because it can be changed into a prime (212400229) 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 35 ways as a sum of consecutive naturals, for example, 11407 + ... + 23556.

Almost surely, 2212400225 is an apocalyptic number.

212400225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212400225 is a deficient number, since it is larger than the sum of its proper divisors (182133551).

212400225 is an equidigital number, since it uses as much as digits as its factorization.

212400225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34988 (or 34971 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 212400225 is about 14573.9570810401. The cubic root of 212400225 is about 596.6481854323.

Adding to 212400225 its reverse (522004212), we get a palindrome (734404437).

The spelling of 212400225 in words is "two hundred twelve million, four hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 1215 2025 6075 34963 104889 174815 314667 524445 874075 944001 1573335 2622225 2832003 4720005 7866675 8496009 14160015 23600025 42480045 70800075 212400225