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42225106 = 27111914431
BaseRepresentation
bin1010000100010…
…0110111010010
32221110020221211
42201010313102
541302200411
64105010334
71021623160
oct241046722
987406854
1042225106
1121920390
12121839aa
138995591
145872230
153a91221
hex2844dd2

42225106 has 32 divisors (see below), whose sum is σ = 83128320. Its totient is φ = 15584400.

The previous prime is 42225101. The next prime is 42225107. The reversal of 42225106 is 60152224.

It is a super-2 number, since 2×422251062 = 3565919153422472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42225101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4290 + ... + 10141.

It is an arithmetic number, because the mean of its divisors is an integer number (2597760).

Almost surely, 242225106 is an apocalyptic number.

42225106 is a deficient number, since it is larger than the sum of its proper divisors (40903214).

42225106 is a wasteful number, since it uses less digits than its factorization.

42225106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42225106 is about 6498.0847947684. The cubic root of 42225106 is about 348.2225697803. Note that the first 3 decimals are identical.

The spelling of 42225106 in words is "forty-two million, two hundred twenty-five thousand, one hundred six".

Divisors: 1 2 7 11 14 19 22 38 77 133 154 209 266 418 1463 2926 14431 28862 101017 158741 202034 274189 317482 548378 1111187 1919323 2222374 3016079 3838646 6032158 21112553 42225106