Search a number
-
+
2198661696 = 263271189557
BaseRepresentation
bin1000001100001100…
…1110101001000000
312200020011120211200
42003003032221000
514000324133241
61002100541200
7105325213260
oct20303165100
95606146750
102198661696
11a290a6090
125143b1800
1329068346a
1416c00d7a0
15cd0554b6
hex830cea40

2198661696 has 336 divisors, whose sum is σ = 7959669120. Its totient is φ = 563650560.

The previous prime is 2198661683. The next prime is 2198661737. The reversal of 2198661696 is 6961668912.

It is a happy number.

2198661696 is a `hidden beast` number, since 2 + 19 + 8 + 6 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×21986616962 = 9668226506915192832, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3947050 + ... + 3947606.

Almost surely, 22198661696 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 2198661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979834560).

2198661696 is an abundant number, since it is smaller than the sum of its proper divisors (5761007424).

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

2198661696 is a wasteful number, since it uses less digits than its factorization.

2198661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 669 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 2198661696 is about 46889.8890593697. The cubic root of 2198661696 is about 1300.3276680939.

The spelling of 2198661696 in words is "two billion, one hundred ninety-eight million, six hundred sixty-one thousand, six hundred ninety-six".