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106530228 = 2236717307
BaseRepresentation
bin1100101100110…
…00010110110100
321102110022000000
412112120112310
5204232431403
614323151300
72432330520
oct626302664
9242408000
10106530228
1155151812
122b815530
13190bbc4c
1410210d80
1595447a3
hex65985b4

106530228 has 168 divisors, whose sum is σ = 339337152. Its totient is φ = 28553472.

The previous prime is 106530199. The next prime is 106530257. The reversal of 106530228 is 822035601.

106530228 is a `hidden beast` number, since 1 + 0 + 653 + 0 + 2 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106530199) and next prime (106530257).

It is a super-2 number, since 2×1065302282 = 22697378955463968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 346851 + ... + 347157.

It is an arithmetic number, because the mean of its divisors is an integer number (2019864).

Almost surely, 2106530228 is an apocalyptic number.

106530228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106530228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169668576).

106530228 is an abundant number, since it is smaller than the sum of its proper divisors (232806924).

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

106530228 is a wasteful number, since it uses less digits than its factorization.

106530228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106530228 is about 10321.3481677541. The cubic root of 106530228 is about 474.0501469137.

Adding to 106530228 its reverse (822035601), we get a palindrome (928565829).

The spelling of 106530228 in words is "one hundred six million, five hundred thirty thousand, two hundred twenty-eight".