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2423332320 = 2535171312267
BaseRepresentation
bin1001000001110001…
…0001110111100000
320020212221000222220
42100130101313200
514430333113240
61040244231040
7114023661543
oct22034216740
96225830886
102423332320
1110339a9492
1257769b480
132c8097a66
1418dbb485a
15e2b345d0
hex90711de0

2423332320 has 192 divisors, whose sum is σ = 8147817216. Its totient is φ = 603299840.

The previous prime is 2423332291. The next prime is 2423332321. The reversal of 2423332320 is 232333242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423332321) 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 31 ways as a sum of consecutive naturals, for example, 1067827 + ... + 1070093.

It is an arithmetic number, because the mean of its divisors is an integer number (42436548).

Almost surely, 22423332320 is an apocalyptic number.

2423332320 is a gapful number since it is divisible by the number (20) 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 2423332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073908608).

2423332320 is an abundant number, since it is smaller than the sum of its proper divisors (5724484896).

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

2423332320 is a wasteful number, since it uses less digits than its factorization.

2423332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2423332320 is about 49227.3533718806. The cubic root of 2423332320 is about 1343.1906443656.

Adding to 2423332320 its reverse (232333242), we get a palindrome (2655665562).

The spelling of 2423332320 in words is "two billion, four hundred twenty-three million, three hundred thirty-two thousand, three hundred twenty".