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211222225 = 52232953239
BaseRepresentation
bin11001001011011…
…11111011010001
3112201110012102101
430211233323101
5413033102400
632543120401
75143234144
oct1445577321
9481405371
10211222225
11a9258425
125a8a3101
13349b6286
14200a405b
151382456a
hexc96fed1

211222225 has 48 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 152472320.

The previous prime is 211222223. The next prime is 211222237. The reversal of 211222225 is 522222112.

It is not a de Polignac number, because 211222225 - 21 = 211222223 is a prime.

It is a super-2 number, since 2×2112222252 = 89229656667901250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883656 + ... + 883894.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2211222225 is an apocalyptic number.

211222225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211222225 is a deficient number, since it is larger than the sum of its proper divisors (78044975).

211222225 is a wasteful number, since it uses less digits than its factorization.

211222225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 211222225 is about 14533.4863332925. The cubic root of 211222225 is about 595.5431097818.

Adding to 211222225 its reverse (522222112), we get a palindrome (733444337).

The spelling of 211222225 in words is "two hundred eleven million, two hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 23 25 29 53 115 145 239 265 575 667 725 1195 1219 1325 1537 3335 5497 5975 6095 6931 7685 12667 16675 27485 30475 34655 35351 38425 63335 137425 159413 173275 176755 291341 316675 367343 797065 883775 1456705 1836715 3985325 7283525 8448889 9183575 42244445 211222225