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106450218 = 23273127253
BaseRepresentation
bin1100101100001…
…00110100101010
321102022020020200
412112010310222
5204222401333
614321333030
72431545330
oct626046452
9242266220
10106450218
11550a7696
122b797176
13190916c4
14101cdb50
15952ac13
hex6584d2a

106450218 has 48 divisors (see below), whose sum is σ = 272103936. Its totient is φ = 29432160.

The previous prime is 106450193. The next prime is 106450259. The reversal of 106450218 is 812054601.

106450218 is a `hidden beast` number, since 1 + 0 + 645 + 0 + 2 + 18 = 666.

It is a super-2 number, since 2×1064502182 = 22663297824495048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106450191 and 106450200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9721 + ... + 17532.

It is an arithmetic number, because the mean of its divisors is an integer number (5668832).

Almost surely, 2106450218 is an apocalyptic number.

106450218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106450218 is an abundant number, since it is smaller than the sum of its proper divisors (165653718).

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

106450218 is a wasteful number, since it uses less digits than its factorization.

106450218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27299 (or 27296 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106450218 is about 10317.4714925703. The cubic root of 106450218 is about 473.9314380350.

The spelling of 106450218 in words is "one hundred six million, four hundred fifty thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 27253 54506 81759 163518 190771 245277 381542 490554 572313 844843 1144626 1689686 1716939 2534529 3433878 5069058 5913901 7603587 11827802 15207174 17741703 35483406 53225109 106450218