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106863228 = 223210392857
BaseRepresentation
bin1100101111010…
…01101001111100
321110002012210100
412113221221330
5204324110403
614334241100
72435215413
oct627515174
9243065710
10106863228
1155359a1a
122b956190
13191a76a4
141029a47a
1595ad2a3
hex65e9a7c

106863228 has 36 divisors (see below), whose sum is σ = 270481120. Its totient is φ = 35574336.

The previous prime is 106863227. The next prime is 106863259. The reversal of 106863228 is 822368601.

106863228 is a `hidden beast` number, since 10 + 6 + 8 + 632 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1068632282 = 22839498997159968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106863192 and 106863201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106863223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35976 + ... + 38832.

Almost surely, 2106863228 is an apocalyptic number.

106863228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106863228 is an abundant number, since it is smaller than the sum of its proper divisors (163617892).

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

106863228 is a wasteful number, since it uses less digits than its factorization.

106863228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106863228 is about 10337.4671946275. The cubic root of 106863228 is about 474.5435733800.

The spelling of 106863228 in words is "one hundred six million, eight hundred sixty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1039 2078 2857 3117 4156 5714 6234 8571 9351 11428 12468 17142 18702 25713 34284 37404 51426 102852 2968423 5936846 8905269 11873692 17810538 26715807 35621076 53431614 106863228