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422440000 = 265459179
BaseRepresentation
bin11001001011011…
…110110001000000
31002102220011201221
4121023132301000
51331121040000
6105530204424
713316452333
oct3113366100
91072804657
10422440000
111a7502474
12b9583714
136969a4c8
144016661a
152714761a
hex192dec40

422440000 has 140 divisors (see below), whose sum is σ = 1071219600. Its totient is φ = 165184000.

The previous prime is 422439961. The next prime is 422440001. The reversal of 422440000 is 44224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (422440001) 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 19 ways as a sum of consecutive naturals, for example, 2359911 + ... + 2360089.

Almost surely, 2422440000 is an apocalyptic number.

422440000 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 422440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535609800).

422440000 is an abundant number, since it is smaller than the sum of its proper divisors (648779600).

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

422440000 is an equidigital number, since it uses as much as digits as its factorization.

422440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 422440000 is about 20553.3452265075. The cubic root of 422440000 is about 750.3346654580.

Adding to 422440000 its reverse (44224), we get a palindrome (422484224).

The spelling of 422440000 in words is "four hundred twenty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 179 200 236 250 295 320 358 400 472 500 590 625 716 800 895 944 1000 1180 1250 1432 1475 1600 1790 1888 2000 2360 2500 2864 2950 3580 3776 4000 4475 4720 5000 5728 5900 7160 7375 8000 8950 9440 10000 10561 11456 11800 14320 14750 17900 18880 20000 21122 22375 23600 28640 29500 35800 36875 40000 42244 44750 47200 52805 57280 59000 71600 73750 84488 89500 94400 105610 111875 118000 143200 147500 168976 179000 211220 223750 236000 264025 286400 295000 337952 358000 422440 447500 472000 528050 590000 675904 716000 844880 895000 1056100 1180000 1320125 1432000 1689760 1790000 2112200 2360000 2640250 3379520 3580000 4224400 5280500 6600625 7160000 8448800 10561000 13201250 16897600 21122000 26402500 42244000 52805000 84488000 105610000 211220000 422440000