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2195740764 = 223372834999
BaseRepresentation
bin1000001011100000…
…0101100001011100
312200000200012002000
42002320011201130
513444102201024
61001514202300
7105261326400
oct20270054134
95600605060
102195740764
11a27490598
12513423390
1328cb9cab9
1416b88d100
15ccb79cc9
hex82e0585c

2195740764 has 144 divisors (see below), whose sum is σ = 6703200000. Its totient is φ = 619672032.

The previous prime is 2195740741. The next prime is 2195740849. The reversal of 2195740764 is 4670475912.

2195740764 is a `hidden beast` number, since 2 + 1 + 9 + 574 + 0 + 76 + 4 = 666.

It is a congruent number.

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, 436737 + ... + 441735.

It is an arithmetic number, because the mean of its divisors is an integer number (46550000).

Almost surely, 22195740764 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 2195740764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351600000).

2195740764 is an abundant number, since it is smaller than the sum of its proper divisors (4507459236).

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

2195740764 is a wasteful number, since it uses less digits than its factorization.

2195740764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2195740764 is about 46858.7319930875. The cubic root of 2195740764 is about 1299.7515825131.

The spelling of 2195740764 in words is "two billion, one hundred ninety-five million, seven hundred forty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 83 84 98 108 126 147 166 189 196 249 252 294 332 378 441 498 581 588 747 756 882 996 1162 1323 1494 1743 1764 2241 2324 2646 2988 3486 4067 4482 4999 5229 5292 6972 8134 8964 9998 10458 12201 14997 15687 16268 19996 20916 24402 29994 31374 34993 36603 44991 48804 59988 62748 69986 73206 89982 104979 109809 134973 139972 146412 179964 209958 219618 244951 269946 314937 414917 419916 439236 489902 539892 629874 734853 829834 944811 979804 1244751 1259748 1469706 1659668 1889622 2204559 2489502 2904419 2939412 3734253 3779244 4409118 4979004 5808838 6613677 7468506 8713257 8818236 11202759 11617676 13227354 14937012 17426514 20330933 22405518 26139771 26454708 34853028 40661866 44811036 52279542 60992799 78419313 81323732 104559084 121985598 156838626 182978397 243971196 313677252 365956794 548935191 731913588 1097870382 2195740764