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42225105 = 3513792741
BaseRepresentation
bin1010000100010…
…0110111010001
32221110020221210
42201010313101
541302200410
64105010333
71021623156
oct241046721
987406853
1042225105
112192038a
12121839a9
138995590
14587222d
153a91220
hex2844dd1

42225105 has 32 divisors (see below), whose sum is σ = 73704960. Its totient is φ = 20517120.

The previous prime is 42225101. The next prime is 42225107. The reversal of 42225105 is 50152224.

It is a happy number.

It is not a de Polignac number, because 42225105 - 22 = 42225101 is a prime.

It is a super-5 number, since 5×422251055 (a number of 39 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 14035 + ... + 16775.

It is an arithmetic number, because the mean of its divisors is an integer number (2303280).

Almost surely, 242225105 is an apocalyptic number.

It is an amenable number.

42225105 is a deficient number, since it is larger than the sum of its proper divisors (31479855).

42225105 is a wasteful number, since it uses less digits than its factorization.

42225105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 42225105 is about 6498.0847178226. The cubic root of 42225105 is about 348.2225670314. Note that the first 3 decimals are identical.

Adding to 42225105 its reverse (50152224), we get a palindrome (92377329).

The spelling of 42225105 in words is "forty-two million, two hundred twenty-five thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 79 195 237 395 1027 1185 2741 3081 5135 8223 13705 15405 35633 41115 106899 178165 216539 534495 649617 1082695 2815007 3248085 8445021 14075035 42225105