Search a number
-
+
422246202642225 = 325213491294007487
BaseRepresentation
bin110000000000001111101101…
…0111010101000111100110001
32001101001100020212021120022100
41200000133122322220330301
5420321040210334022400
64054013121055131013
7154640165346256203
oct14000373272507461
92041040225246270
10422246202642225
111125a4677501655
123b436186b13a69
131517b852504170
14763ab7a6c2773
1533c38d5713100
hex18007daea8f31

422246202642225 has 72 divisors (see below), whose sum is σ = 816124801669632. Its totient is φ = 207451682121600.

The previous prime is 422246202642221. The next prime is 422246202642233. The reversal of 422246202642225 is 522246202642224.

It is not a de Polignac number, because 422246202642225 - 22 = 422246202642221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (422246202642221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145567569 + ... + 148439918.

It is an arithmetic number, because the mean of its divisors is an integer number (11335066689856).

Almost surely, 2422246202642225 is an apocalyptic number.

422246202642225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422246202642225 is a deficient number, since it is larger than the sum of its proper divisors (393878599027407).

422246202642225 is a wasteful number, since it uses less digits than its factorization.

422246202642225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294008007 (or 294007999 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

Subtracting 422246202642225 from its reverse (522246202642224), we obtain a palindrome (99999999999999).

The spelling of 422246202642225 in words is "four hundred twenty-two trillion, two hundred forty-six billion, two hundred two million, six hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 491 585 975 1473 2455 2925 4419 6383 7365 12275 19149 22095 31915 36825 57447 95745 110475 159575 287235 478725 1436175 294007487 882022461 1470037435 2646067383 3822097331 4410112305 7350187175 11466291993 13230336915 19110486655 22050561525 34398875979 57331459965 66151684575 95552433275 144357676117 171994379895 286657299825 433073028351 721788380585 859971899475 1299219085053 1876649789521 2165365141755 3608941902925 5629949368563 6496095425265 9383248947605 10826825708775 16889848105689 28149746842815 32480477126325 46916244738025 84449240528445 140748734214075 422246202642225