Search a number
-
+
2822118728 = 23111317312151
BaseRepresentation
bin1010100000110110…
…0001110101001000
321021200022111002212
42220031201311020
521234430244403
61144011444252
7126635420252
oct25015416510
97250274085
102822118728
111219015630
12669156688
1335c8a2b50
141cab40cd2
15117b584d8
hexa8361d48

2822118728 has 192 divisors, whose sum is σ = 6846456960. Its totient is φ = 1071360000.

The previous prime is 2822118703. The next prime is 2822118749. The reversal of 2822118728 is 8278112282.

It is a super-2 number, since 2×28221187282 = 15928708229856675968, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18689453 + ... + 18689603.

It is an arithmetic number, because the mean of its divisors is an integer number (35658630).

Almost surely, 22822118728 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 2822118728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423228480).

2822118728 is an abundant number, since it is smaller than the sum of its proper divisors (4024338232).

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

2822118728 is a wasteful number, since it uses less digits than its factorization.

2822118728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 225 counting only the distinct ones).

The product of its digits is 57344, while the sum is 41.

The square root of 2822118728 is about 53123.6174220092. The cubic root of 2822118728 is about 1413.1613802807.

The spelling of 2822118728 in words is "two billion, eight hundred twenty-two million, one hundred eighteen thousand, seven hundred twenty-eight".