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2195849664 = 26325776607
BaseRepresentation
bin1000001011100010…
…0000000111000000
312200000212201110100
42002320200013000
513444114142124
61001520402400
7105262262031
oct20270400700
95600781410
102195849664
11a27555398
12513476400
1328cc0a538
1416b8baa88
15ccb9c1c9
hex82e201c0

2195849664 has 84 divisors (see below), whose sum is σ = 6305869024. Its totient is φ = 730570752.

The previous prime is 2195849647. The next prime is 2195849683. The reversal of 2195849664 is 4669485912.

2195849664 is a `hidden beast` number, since 2 + 1 + 95 + 8 + 496 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2195849664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329049 + ... + 335655.

Almost surely, 22195849664 is an apocalyptic number.

2195849664 is a gapful number since it is divisible by the number (24) 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 2195849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152934512).

2195849664 is an abundant number, since it is smaller than the sum of its proper divisors (4110019360).

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

2195849664 is a wasteful number, since it uses less digits than its factorization.

2195849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7189 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 2195849664 is about 46859.8939819543. The cubic root of 2195849664 is about 1299.7730696592.

The spelling of 2195849664 in words is "two billion, one hundred ninety-five million, eight hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 577 1154 1731 2308 3462 4616 5193 6607 6924 9232 10386 13214 13848 18464 19821 20772 26428 27696 36928 39642 41544 52856 55392 59463 79284 83088 105712 110784 118926 158568 166176 211424 237852 317136 332352 422848 475704 634272 951408 1268544 1902816 3805632 3812239 7624478 11436717 15248956 22873434 30497912 34310151 45746868 60995824 68620302 91493736 121991648 137240604 182987472 243983296 274481208 365974944 548962416 731949888 1097924832 2195849664