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106446228 = 22372181031
BaseRepresentation
bin1100101100000…
…11110110010100
321102022000202220
412112003312110
5204222234403
614321302340
72431530600
oct626036624
9242260686
10106446228
11550a4699
122b7949b0
131908c945
14101cc500
159529953
hex6583d94

106446228 has 36 divisors (see below), whose sum is σ = 288927072. Its totient is φ = 30413040.

The previous prime is 106446217. The next prime is 106446257. The reversal of 106446228 is 822644601.

It is a super-3 number, since 3×1064462283 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 89928 + ... + 91103.

It is an arithmetic number, because the mean of its divisors is an integer number (8025752).

Almost surely, 2106446228 is an apocalyptic number.

It is an amenable number.

106446228 is an abundant number, since it is smaller than the sum of its proper divisors (182480844).

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

106446228 is a wasteful number, since it uses less digits than its factorization.

106446228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181052 (or 181043 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 106446228 is about 10317.2781294293. The cubic root of 106446228 is about 473.9255166128.

The spelling of 106446228 in words is "one hundred six million, four hundred forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 181031 362062 543093 724124 1086186 1267217 2172372 2534434 3801651 5068868 7603302 8870519 15206604 17741038 26611557 35482076 53223114 106446228