Search a number
-
+
2081422336 = 210717192931
BaseRepresentation
bin111110000001111…
…1111110000000000
312101001120012200011
41330003333300000
513230321003321
6542312034304
7102402540460
oct17403776000
95331505604
102081422336
119789aa454
124a1092994
132722b4c66
1415a611ba0
15c2ae7ae1
hex7c0ffc00

2081422336 has 352 divisors, whose sum is σ = 5659545600. Its totient is φ = 743178240.

The previous prime is 2081422331. The next prime is 2081422337. The reversal of 2081422336 is 6332241802.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2081422298 and 2081422307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081422331) 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, 67142641 + ... + 67142671.

Almost surely, 22081422336 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 2081422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829772800).

2081422336 is an abundant number, since it is smaller than the sum of its proper divisors (3578123264).

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

2081422336 is a wasteful number, since it uses less digits than its factorization.

2081422336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2081422336 is about 45622.6077290634. The cubic root of 2081422336 is about 1276.7917571175.

The spelling of 2081422336 in words is "two billion, eighty-one million, four hundred twenty-two thousand, three hundred thirty-six".