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422305440 = 25356114423
BaseRepresentation
bin11001001010111…
…101111010100000
31002102122100011020
4121022331322200
51331102233230
6105523245440
713315352124
oct3112757240
91072570136
10422305440
111a7420367
12b9519880
136965119b
144012d584
152711c810
hex192bdea0

422305440 has 96 divisors (see below), whose sum is σ = 1352163456. Its totient is φ = 110760960.

The previous prime is 422305439. The next prime is 422305441. The reversal of 422305440 is 44503224.

It is an interprime number because it is at equal distance from previous prime (422305439) and next prime (422305441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422305440.

It is not an unprimeable number, because it can be changed into a prime (422305441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22069 + ... + 36491.

It is an arithmetic number, because the mean of its divisors is an integer number (14085036).

Almost surely, 2422305440 is an apocalyptic number.

422305440 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 422305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676081728).

422305440 is an abundant number, since it is smaller than the sum of its proper divisors (929858016).

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

422305440 is a wasteful number, since it uses less digits than its factorization.

422305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14502 (or 14494 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 422305440 is about 20550.0715327222. The cubic root of 422305440 is about 750.2549888533.

Adding to 422305440 its reverse (44503224), we get a palindrome (466808664).

The spelling of 422305440 in words is "four hundred twenty-two million, three hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 9760 14423 14640 28846 29280 43269 57692 72115 86538 115384 144230 173076 216345 230768 288460 346152 432690 461536 576920 692304 865380 879803 1153840 1384608 1730760 1759606 2307680 2639409 3461520 3519212 4399015 5278818 6923040 7038424 8798030 10557636 13197045 14076848 17596060 21115272 26394090 28153696 35192120 42230544 52788180 70384240 84461088 105576360 140768480 211152720 422305440