Search a number
-
+
2196747616 = 25731761193
BaseRepresentation
bin1000001011101111…
…1011010101100000
312200002120100012211
42002323323111200
513444331410431
61001551531504
7105303022000
oct20273732540
95602510184
102196747616
11a28008aa8
12513829b94
1329016317b
1416ba72000
15cccc82b1
hex82efb560

2196747616 has 192 divisors, whose sum is σ = 5455900800. Its totient is φ = 867041280.

The previous prime is 2196747601. The next prime is 2196747653. The reversal of 2196747616 is 6167476912.

2196747616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 2196747616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11382016 + ... + 11382208.

It is an arithmetic number, because the mean of its divisors is an integer number (28416150).

Almost surely, 22196747616 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 2196747616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727950400).

2196747616 is an abundant number, since it is smaller than the sum of its proper divisors (3259153184).

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

2196747616 is a wasteful number, since it uses less digits than its factorization.

2196747616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its digits is 762048, while the sum is 49.

The square root of 2196747616 is about 46869.4742449710. The cubic root of 2196747616 is about 1299.9502182120.

The spelling of 2196747616 in words is "two billion, one hundred ninety-six million, seven hundred forty-seven thousand, six hundred sixteen".