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422332442240 = 275659894441
BaseRepresentation
bin1100010010101001111…
…10011010011010000000
31111101010001222222111012
412021110332122122000
523404414101122430
6522003345540052
742340535346032
oct6112476323200
91441101888435
10422332442240
11153123720835
1269a26344628
1330a973098c7
141662615dc52
15aebc2e3695
hex6254f9a680

422332442240 has 32 divisors (see below), whose sum is σ = 1009638496260. Its totient is φ = 168932976640.

The previous prime is 422332442201. The next prime is 422332442249. The reversal of 422332442240 is 42244233224.

It can be written as a sum of positive squares in 2 ways, for example, as 417553761856 + 4778680384 = 646184^2 + 69128^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 422332442197 and 422332442206.

It is not an unprimeable number, because it can be changed into a prime (422332442249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329946581 + ... + 329947860.

Almost surely, 2422332442240 is an apocalyptic number.

422332442240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422332442240 is an abundant number, since it is smaller than the sum of its proper divisors (587306054020).

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

422332442240 is an equidigital number, since it uses as much as digits as its factorization.

422332442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659894460 (or 659894448 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 422332442240 its reverse (42244233224), we get a palindrome (464576675464).

The spelling of 422332442240 in words is "four hundred twenty-two billion, three hundred thirty-two million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 659894441 1319788882 2639577764 3299472205 5279155528 6598944410 10558311056 13197888820 21116622112 26395777640 42233244224 52791555280 84466488448 105583110560 211166221120 422332442240