Search a number
-
+
47222269248 = 263711217192931
BaseRepresentation
bin101011111110101010…
…101010010101000000
311111220000000211101010
4223332222222111000
51233202400103443
633405453040520
73261132444240
oct537652522500
9144800024333
1047222269248
1119032815900
12919a786140
1345b743ba6b
1423dd865b20
151365aa8733
hexafeaaa540

47222269248 has 1344 divisors, whose sum is σ = 186800947200. Its totient is φ = 10218700800.

The previous prime is 47222269223. The next prime is 47222269291. The reversal of 47222269248 is 84296222274.

47222269248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 47222269197 and 47222269206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1523298993 + ... + 1523299023.

It is an arithmetic number, because the mean of its divisors is an integer number (138988800).

Almost surely, 247222269248 is an apocalyptic number.

47222269248 is a gapful number since it is divisible by the number (48) 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 47222269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93400473600).

47222269248 is an abundant number, since it is smaller than the sum of its proper divisors (139578677952).

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

47222269248 is a wasteful number, since it uses less digits than its factorization.

47222269248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 47222269248 in words is "forty-seven billion, two hundred twenty-two million, two hundred sixty-nine thousand, two hundred forty-eight".