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422260040 = 23514970849
BaseRepresentation
bin11001001010110…
…010110101001000
31002102120000212202
4121022302311020
51331044310130
6105522255332
713315102556
oct3112626510
91072500782
10422260040
111a739a244
12b94b7548
1369636617
144011abd6
152710e145
hex192b2d48

422260040 has 32 divisors (see below), whose sum is σ = 956475000. Its totient is φ = 167768064.

The previous prime is 422260031. The next prime is 422260049. The reversal of 422260040 is 40062224.

It is an interprime number because it is at equal distance from previous prime (422260031) and next prime (422260049).

It can be written as a sum of positive squares in 4 ways, for example, as 323496196 + 98763844 = 17986^2 + 9938^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 422259994 and 422260021.

It is not an unprimeable number, because it can be changed into a prime (422260049) 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, 29465 + ... + 41384.

Almost surely, 2422260040 is an apocalyptic number.

422260040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422260040 is an abundant number, since it is smaller than the sum of its proper divisors (534214960).

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

422260040 is a wasteful number, since it uses less digits than its factorization.

422260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71009 (or 71005 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 422260040 is about 20548.9668840066. The cubic root of 422260040 is about 750.2281024705.

The spelling of 422260040 in words is "four hundred twenty-two million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 70849 141698 283396 354245 566792 708490 1416980 2833960 10556501 21113002 42226004 52782505 84452008 105565010 211130020 422260040