Search a number
-
+
2196548640 = 25325111310667
BaseRepresentation
bin1000001011101100…
…1010110000100000
312200002012020021100
42002323022300200
513444304024030
61001543354400
7105301232616
oct20273126040
95602166240
102196548640
11a27992560
12513752a00
132900c3730
1416ba1d6b6
15ccc89360
hex82ecac20

2196548640 has 288 divisors, whose sum is σ = 8806988736. Its totient is φ = 491489280.

The previous prime is 2196548591. The next prime is 2196548659. The reversal of 2196548640 is 468456912.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200587 + ... + 211253.

It is an arithmetic number, because the mean of its divisors is an integer number (30579822).

Almost surely, 22196548640 is an apocalyptic number.

2196548640 is a gapful number since it is divisible by the number (20) 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 2196548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403494368).

2196548640 is an abundant number, since it is smaller than the sum of its proper divisors (6610440096).

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

2196548640 is a wasteful number, since it uses less digits than its factorization.

2196548640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10712 (or 10701 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2196548640 is about 46867.3515360107. The cubic root of 2196548640 is about 1299.9109682617.

The spelling of 2196548640 in words is "two billion, one hundred ninety-six million, five hundred forty-eight thousand, six hundred forty".