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106228416 = 263779039
BaseRepresentation
bin1100101010011…
…10101011000000
321101212221222210
412111032223000
5204143302131
614312502120
72426632560
oct625165300
9241787883
10106228416
1154a65a88
122b6aa940
1319014768
1410172da0
1594d5146
hex654eac0

106228416 has 56 divisors (see below), whose sum is σ = 321218560. Its totient is φ = 30350592.

The previous prime is 106228391. The next prime is 106228439. The reversal of 106228416 is 614822601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1062284162 = 22568952731738112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38176 + ... + 40863.

Almost surely, 2106228416 is an apocalyptic number.

106228416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106228416 is an abundant number, since it is smaller than the sum of its proper divisors (214990144).

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

106228416 is an equidigital number, since it uses as much as digits as its factorization.

106228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79061 (or 79051 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106228416 is about 10306.7170330809. The cubic root of 106228416 is about 473.6020445188.

The spelling of 106228416 in words is "one hundred six million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 79039 158078 237117 316156 474234 553273 632312 948468 1106546 1264624 1659819 1896936 2213092 2529248 3319638 3793872 4426184 5058496 6639276 7587744 8852368 13278552 15175488 17704736 26557104 35409472 53114208 106228416