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422922730320 = 2432531177710663
BaseRepresentation
bin1100010011110000010…
…10001011101101010000
31111102122012201201111200
412021320022023231100
523412121204332240
6522142113511200
742361263615366
oct6117012135520
91442565651450
10422922730320
111533a6945a22
1269b6bb72500
1330b5c6b4aac
14166806d9636
15b004043930
hex627828bb50

422922730320 has 240 divisors, whose sum is σ = 1467094766592. Its totient is φ = 109069701120.

The previous prime is 422922730309. The next prime is 422922730379. The reversal of 422922730320 is 23037229224.

422922730320 is a `hidden beast` number, since 42 + 29 + 2 + 273 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 39657309 + ... + 39667971.

Almost surely, 2422922730320 is an apocalyptic number.

422922730320 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 422922730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733547383296).

422922730320 is an abundant number, since it is smaller than the sum of its proper divisors (1044172036272).

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

422922730320 is a wasteful number, since it uses less digits than its factorization.

422922730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12481 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 422922730320 its reverse (23037229224), we get a palindrome (445959959544).

The spelling of 422922730320 in words is "four hundred twenty-two billion, nine hundred twenty-two million, seven hundred thirty thousand, three hundred twenty".