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422625320 = 235134331877
BaseRepresentation
bin11001001100001…
…100000000101000
31002110020120221122
4121030030000220
51331143002240
6105534154412
713321153535
oct3114140050
91073216848
10422625320
111a7619727
12b9652a08
1369733970
14401b3d8c
15271824b5
hex1930c028

422625320 has 64 divisors (see below), whose sum is σ = 1026965520. Its totient is φ = 155602944.

The previous prime is 422625277. The next prime is 422625361. The reversal of 422625320 is 23526224.

It can be written as a sum of positive squares in 8 ways, for example, as 52678564 + 369946756 = 7258^2 + 19234^2 .

It is a super-2 number, since 2×4226253202 = 357224322210204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 422625320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224222 + ... + 226098.

Almost surely, 2422625320 is an apocalyptic number.

422625320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422625320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513482760).

422625320 is an abundant number, since it is smaller than the sum of its proper divisors (604340200).

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

422625320 is a wasteful number, since it uses less digits than its factorization.

422625320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 422625320 is about 20557.8530007392. The cubic root of 422625320 is about 750.4443707349. Note that the first 3 decimals are identical.

The spelling of 422625320 in words is "four hundred twenty-two million, six hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 433 520 866 1732 1877 2165 3464 3754 4330 5629 7508 8660 9385 11258 15016 17320 18770 22516 24401 28145 37540 45032 48802 56290 75080 97604 112580 122005 195208 225160 244010 488020 812741 976040 1625482 3250964 4063705 6501928 8127410 10565633 16254820 21131266 32509640 42262532 52828165 84525064 105656330 211312660 422625320