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106442224 = 2472693533
BaseRepresentation
bin1100101100000…
…10110111110000
321102021211021121
412112002313300
5204222122344
614321232024
72431513120
oct626026760
9242254247
10106442224
11550a1689
122b792614
131908ab85
14101cac80
159528684
hex6582df0

106442224 has 40 divisors (see below), whose sum is σ = 236636640. Its totient is φ = 45435648.

The previous prime is 106442221. The next prime is 106442227. The reversal of 106442224 is 422244601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106442221) and next prime (106442227).

It is a super-2 number, since 2×1064422242 = 22659894100132352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106442221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28362 + ... + 31894.

It is an arithmetic number, because the mean of its divisors is an integer number (5915916).

Almost surely, 2106442224 is an apocalyptic number.

106442224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106442224 is an abundant number, since it is smaller than the sum of its proper divisors (130194416).

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

106442224 is a wasteful number, since it uses less digits than its factorization.

106442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 106442224 is about 10317.0840841780. The cubic root of 106442224 is about 473.9195742649.

Adding to 106442224 its reverse (422244601), we get a palindrome (528686825).

The spelling of 106442224 in words is "one hundred six million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 269 538 1076 1883 2152 3533 3766 4304 7066 7532 14132 15064 24731 28264 30128 49462 56528 98924 197848 395696 950377 1900754 3801508 6652639 7603016 13305278 15206032 26610556 53221112 106442224