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1922009472 = 2735611013
BaseRepresentation
bin111001010001111…
…1000100110000000
311221221121012100000
41302203320212000
512414013300342
6514415200000
765425545105
oct16243704600
94857535300
101922009472
118a6a19189
12457816000
1324826b816
14143396aac
15b3b0944c
hex728f8980

1922009472 has 192 divisors, whose sum is σ = 5835407760. Its totient is φ = 629544960.

The previous prime is 1922009471. The next prime is 1922009483. The reversal of 1922009472 is 2749002291.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1922009471) 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 23 ways as a sum of consecutive naturals, for example, 1896838 + ... + 1897850.

Almost surely, 21922009472 is an apocalyptic number.

1922009472 is a gapful number since it is divisible by the number (12) 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 1922009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917703880).

1922009472 is an abundant number, since it is smaller than the sum of its proper divisors (3913398288).

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

1922009472 is an equidigital number, since it uses as much as digits as its factorization.

1922009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1922009472 is about 43840.7284611011. The cubic root of 1922009472 is about 1243.3264551382.

The spelling of 1922009472 in words is "one billion, nine hundred twenty-two million, nine thousand, four hundred seventy-two".