Search a number
-
+
2195891544 = 2337112108023
BaseRepresentation
bin1000001011100010…
…1010010101011000
312200000221211220110
42002320222111120
513444122012134
61001521324320
7105262525110
oct20270522530
95600854813
102195891544
11a27583900
125134966a0
1328cc23612
1416b8cc040
15ccba97e9
hex82e2a558

2195891544 has 96 divisors (see below), whose sum is σ = 6896252160. Its totient is φ = 570356160.

The previous prime is 2195891543. The next prime is 2195891623. The reversal of 2195891544 is 4451985912.

It is a junction number, because it is equal to n+sod(n) for n = 2195891493 and 2195891502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195891543) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33684 + ... + 74339.

It is an arithmetic number, because the mean of its divisors is an integer number (71835960).

Almost surely, 22195891544 is an apocalyptic number.

2195891544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2195891544 is an abundant number, since it is smaller than the sum of its proper divisors (4700360616).

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

2195891544 is a wasteful number, since it uses less digits than its factorization.

2195891544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108061 (or 108046 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The square root of 2195891544 is about 46860.3408438308. The cubic root of 2195891544 is about 1299.7813328463.

The spelling of 2195891544 in words is "two billion, one hundred ninety-five million, eight hundred ninety-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328 108023 216046 324069 432092 648138 756161 864184 1188253 1296276 1512322 2268483 2376506 2592552 3024644 3564759 4536966 4753012 6049288 7129518 8317771 9073932 9506024 13070783 14259036 16635542 18147864 24953313 26141566 28518072 33271084 39212349 49906626 52283132 66542168 78424698 91495481 99813252 104566264 156849396 182990962 199626504 274486443 313698792 365981924 548972886 731963848 1097945772 2195891544