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106224225 = 35237101379
BaseRepresentation
bin1100101010011…
…01101001100001
321101212202020120
412111031221201
5204143133400
614312430453
72426614422
oct625155141
9241782216
10106224225
1154a62918
122b6a8429
1319012893
1410171649
1594d3ca0
hex654da61

106224225 has 48 divisors (see below), whose sum is σ = 182637120. Its totient is φ = 54432000.

The previous prime is 106224179. The next prime is 106224229. The reversal of 106224225 is 522422601.

It is a happy number.

It is not a de Polignac number, because 106224225 - 214 = 106207841 is a prime.

It is a super-2 number, since 2×1062242252 = 22567171953701250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106224195 and 106224204.

It is not an unprimeable number, because it can be changed into a prime (106224229) 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 47 ways as a sum of consecutive naturals, for example, 280086 + ... + 280464.

It is an arithmetic number, because the mean of its divisors is an integer number (3804940).

Almost surely, 2106224225 is an apocalyptic number.

106224225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106224225 is a deficient number, since it is larger than the sum of its proper divisors (76412895).

106224225 is a wasteful number, since it uses less digits than its factorization.

106224225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 106224225 is about 10306.5137170626. The cubic root of 106224225 is about 473.5958161405.

Adding to 106224225 its reverse (522422601), we get a palindrome (628646826).

The spelling of 106224225 in words is "one hundred six million, two hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 37 75 101 111 185 303 379 505 555 925 1137 1515 1895 2525 2775 3737 5685 7575 9475 11211 14023 18685 28425 38279 42069 56055 70115 93425 114837 191395 210345 280275 350575 574185 956975 1051725 1416323 2870925 4248969 7081615 21244845 35408075 106224225