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422140992 = 26371337653
BaseRepresentation
bin11001001010010…
…101110001000000
31002102022222120120
4121022111301000
51331032002432
6105515540240
713314065520
oct3112256100
91072288516
10422140992
111a7318859
12b945a680
13695c4390
14400c9680
15270d8c2c
hex19295c40

422140992 has 224 divisors, whose sum is σ = 1413979392. Its totient is φ = 108158976.

The previous prime is 422140951. The next prime is 422140997. The reversal of 422140992 is 299041224.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422140997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646138 + ... + 646790.

It is an arithmetic number, because the mean of its divisors is an integer number (6312408).

Almost surely, 2422140992 is an apocalyptic number.

422140992 is a gapful number since it is divisible by the number (42) 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 422140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706989696).

422140992 is an abundant number, since it is smaller than the sum of its proper divisors (991838400).

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

422140992 is a wasteful number, since it uses less digits than its factorization.

422140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 422140992 is about 20546.0699891731. The cubic root of 422140992 is about 750.1575917730.

The spelling of 422140992 in words is "four hundred twenty-two million, one hundred forty thousand, nine hundred ninety-two".