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422214240 = 25357125659
BaseRepresentation
bin11001001010100…
…111101001100000
31002102110201001110
4121022213221200
51331041323430
6105521303320
713314522210
oct3112475140
91072421043
10422214240
111a7368898
12b9494b40
136961b816
1440108240
15271007b0
hex192a7a60

422214240 has 96 divisors (see below), whose sum is σ = 1519983360. Its totient is φ = 96505344.

The previous prime is 422214223. The next prime is 422214241. The reversal of 422214240 is 42412224.

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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422214241) 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 15 ways as a sum of consecutive naturals, for example, 59470 + ... + 66189.

It is an arithmetic number, because the mean of its divisors is an integer number (15833160).

Almost surely, 2422214240 is an apocalyptic number.

422214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422214240 is an abundant number, since it is smaller than the sum of its proper divisors (1097769120).

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

422214240 is a wasteful number, since it uses less digits than its factorization.

422214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125684 (or 125676 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 422214240 is about 20547.8524425303. The cubic root of 422214240 is about 750.2009772505.

Adding to 422214240 its reverse (42412224), we get a palindrome (464626464).

The spelling of 422214240 in words is "four hundred twenty-two million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 125659 251318 376977 502636 628295 753954 879613 1005272 1256590 1507908 1759226 1884885 2010544 2513180 2638839 3015816 3518452 3769770 4021088 4398065 5026360 5277678 6031632 7036904 7539540 8796130 10052720 10555356 12063264 13194195 14073808 15079080 17592260 20105440 21110712 26388390 28147616 30158160 35184520 42221424 52776780 60316320 70369040 84442848 105553560 140738080 211107120 422214240