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107196228 = 22328933457
BaseRepresentation
bin1100110001110…
…10111101000100
321110201010120200
412120322331010
5204420234403
614345330500
72441103306
oct630727504
9243633520
10107196228
1155567127
122ba96a30
1319293129
1410345976
159626ca3
hex663af44

107196228 has 36 divisors (see below), whose sum is σ = 274021020. Its totient is φ = 35329536.

The previous prime is 107196227. The next prime is 107196239. The reversal of 107196228 is 822691701.

107196228 is a `hidden beast` number, since 10 + 7 + 19 + 622 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29615364 + 77580864 = 5442^2 + 8808^2 .

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

It is a super-3 number, since 3×1071962283 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 107196192 and 107196201.

It is not an unprimeable number, because it can be changed into a prime (107196223) 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, 13525 + ... + 19932.

It is an arithmetic number, because the mean of its divisors is an integer number (7611695).

Almost surely, 2107196228 is an apocalyptic number.

107196228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107196228 is an abundant number, since it is smaller than the sum of its proper divisors (166824792).

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

107196228 is a wasteful number, since it uses less digits than its factorization.

107196228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33556 (or 33551 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 107196228 is about 10353.5611264917. The cubic root of 107196228 is about 475.0359758532.

The spelling of 107196228 in words is "one hundred seven million, one hundred ninety-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 33457 66914 100371 133828 200742 301113 401484 602226 1204452 2977673 5955346 8933019 11910692 17866038 26799057 35732076 53598114 107196228