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422543440 = 245112511913
BaseRepresentation
bin11001001011111…
…000000001010000
31002110002102122001
4121023320001100
51331132342230
6105532323344
713320363034
oct3113700120
91073072561
10422543440
111a7573160
12b9613554
1369705607
14401921c4
15271680ca
hex192f8050

422543440 has 80 divisors (see below), whose sum is σ = 1076556096. Its totient is φ = 152960000.

The previous prime is 422543411. The next prime is 422543453. The reversal of 422543440 is 44345224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 422543399 and 422543408.

It is a congruent number.

It is an unprimeable number.

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, 219924 + ... + 221836.

Almost surely, 2422543440 is an apocalyptic number.

422543440 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 422543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538278048).

422543440 is an abundant number, since it is smaller than the sum of its proper divisors (654012656).

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

422543440 is a wasteful number, since it uses less digits than its factorization.

422543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 422543440 is about 20555.8614511774. The cubic root of 422543440 is about 750.3959035696.

Adding to 422543440 its reverse (44345224), we get a palindrome (466888664).

The spelling of 422543440 in words is "four hundred twenty-two million, five hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 251 440 502 880 1004 1255 1913 2008 2510 2761 3826 4016 5020 5522 7652 9565 10040 11044 13805 15304 19130 20080 21043 22088 27610 30608 38260 42086 44176 55220 76520 84172 105215 110440 153040 168344 210430 220880 336688 420860 480163 841720 960326 1683440 1920652 2400815 3841304 4801630 5281793 7682608 9603260 10563586 19206520 21127172 26408965 38413040 42254344 52817930 84508688 105635860 211271720 422543440