Search a number
-
+
19228716000 = 25325313181227
BaseRepresentation
bin10001111010000111…
…101110101111100000
31211122002012222111200
4101322013232233200
5303340022403000
612500014041200
71250335250334
oct217207565740
954562188450
1019228716000
118178121a2a
1238877a9200
131a7596a480
14d05ab37c4
157781b7500
hex47a1eebe0

19228716000 has 576 divisors, whose sum is σ = 74223729216. Its totient is φ = 4686336000.

The previous prime is 19228715953. The next prime is 19228716071. The reversal of 19228716000 is 61782291.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84707887 + ... + 84708113.

It is an arithmetic number, because the mean of its divisors is an integer number (128860641).

Almost surely, 219228716000 is an apocalyptic number.

19228716000 is a gapful number since it is divisible by the number (10) 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 19228716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37111864608).

19228716000 is an abundant number, since it is smaller than the sum of its proper divisors (54995013216).

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

19228716000 is a wasteful number, since it uses less digits than its factorization.

19228716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 19228716000 in words is "nineteen billion, two hundred twenty-eight million, seven hundred sixteen thousand".