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2422403984 = 24721113173141
BaseRepresentation
bin1001000001100010…
…1111001110010000
320020211011212120002
42100120233032100
514430113411414
61040212305132
7114013044200
oct22030571620
96224155502
102422403984
111033424a70
125773121a8
132c7b31350
1418da12400
15e29ee4de
hex9062f390

2422403984 has 480 divisors, whose sum is σ = 7181540352. Its totient is φ = 774144000.

The previous prime is 2422403981. The next prime is 2422403987. The reversal of 2422403984 is 4893042242.

It is an interprime number because it is at equal distance from previous prime (2422403981) and next prime (2422403987).

It is not an unprimeable number, because it can be changed into a prime (2422403981) 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 95 ways as a sum of consecutive naturals, for example, 59083004 + ... + 59083044.

Almost surely, 22422403984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422403984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590770176).

2422403984 is an abundant number, since it is smaller than the sum of its proper divisors (4759136368).

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

2422403984 is a wasteful number, since it uses less digits than its factorization.

2422403984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 2422403984 is about 49217.9234019478. The cubic root of 2422403984 is about 1343.0191048867.

The spelling of 2422403984 in words is "two billion, four hundred twenty-two million, four hundred three thousand, nine hundred eighty-four".