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42225012 = 22326171901
BaseRepresentation
bin1010000100010…
…0110101110100
32221110020211100
42201010311310
541302200022
64105010100
71021622664
oct241046564
987406740
1042225012
1121920305
1212183930
13899551b
1458721a4
153a911ac
hex2844d74

42225012 has 36 divisors (see below), whose sum is σ = 106964676. Its totient is φ = 14044800.

The previous prime is 42224999. The next prime is 42225013. The reversal of 42225012 is 21052224.

It can be written as a sum of positive squares in 2 ways, for example, as 2232036 + 39992976 = 1494^2 + 6324^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42225013) 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 11 ways as a sum of consecutive naturals, for example, 21262 + ... + 23162.

It is an arithmetic number, because the mean of its divisors is an integer number (2971241).

Almost surely, 242225012 is an apocalyptic number.

It is an amenable number.

42225012 is an abundant number, since it is smaller than the sum of its proper divisors (64739664).

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

42225012 is a wasteful number, since it uses less digits than its factorization.

42225012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42225012 is about 6498.0775618640. The cubic root of 42225012 is about 348.2223113800. Note that the first 3 decimals are identical.

Adding to 42225012 its reverse (21052224), we get a palindrome (63277236).

The spelling of 42225012 in words is "forty-two million, two hundred twenty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 617 1234 1851 1901 2468 3702 3802 5553 5703 7404 7604 11106 11406 17109 22212 22812 34218 68436 1172917 2345834 3518751 4691668 7037502 10556253 14075004 21112506 42225012