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2131022304 = 253353173269
BaseRepresentation
bin111111100000100…
…1101000111100000
312111111220011001000
41333001031013200
513331020203204
6551243112000
7103544251005
oct17701150740
95444804030
102131022304
119a39a7664
124b5812600
1327c660258
141630438ac
15c7144039
hex7f04d1e0

2131022304 has 192 divisors, whose sum is σ = 6393038400. Its totient is φ = 690333696.

The previous prime is 2131022303. The next prime is 2131022317. The reversal of 2131022304 is 4032201312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131022303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7921882 + ... + 7922150.

It is an arithmetic number, because the mean of its divisors is an integer number (33297075).

Almost surely, 22131022304 is an apocalyptic number.

2131022304 is a gapful number since it is divisible by the number (24) 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 2131022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196519200).

2131022304 is an abundant number, since it is smaller than the sum of its proper divisors (4262016096).

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

2131022304 is a wasteful number, since it uses less digits than its factorization.

2131022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2131022304 is about 46162.9971297358. The cubic root of 2131022304 is about 1286.8541627068.

Adding to 2131022304 its reverse (4032201312), we get a palindrome (6163223616).

The spelling of 2131022304 in words is "two billion, one hundred thirty-one million, twenty-two thousand, three hundred four".