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106630224 = 2437330431
BaseRepresentation
bin1100101101100…
…00110001010000
321102122101011120
412112300301100
5204244131344
614325242240
72433225201
oct626606120
9242571146
10106630224
115520a958
122b863380
131912560c
14102395a8
159564219
hex65b0c50

106630224 has 40 divisors (see below), whose sum is σ = 279244032. Its totient is φ = 35055360.

The previous prime is 106630213. The next prime is 106630229. The reversal of 106630224 is 422036601.

It is a super-2 number, since 2×1066302242 = 22740009340580352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106630194 and 106630203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106630229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11712 + ... + 18719.

Almost surely, 2106630224 is an apocalyptic number.

It is an amenable number.

106630224 is an abundant number, since it is smaller than the sum of its proper divisors (172613808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106630224 is a wasteful number, since it uses less digits than its factorization.

106630224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30515 (or 30509 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106630224 is about 10326.1911661561. The cubic root of 106630224 is about 474.1984249980.

Adding to 106630224 its reverse (422036601), we get a palindrome (528666825).

The spelling of 106630224 in words is "one hundred six million, six hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 30431 60862 91293 121724 182586 243448 365172 486896 730344 1460688 2221463 4442926 6664389 8885852 13328778 17771704 26657556 35543408 53315112 106630224