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2215005648 = 243416118451
BaseRepresentation
bin1000010000000110…
…0100110111010000
312201100220221112020
42010001210313100
514014020140043
61003443131440
7105614144262
oct20401446720
95640827466
102215005648
11a37349589
12519973b80
13293b8673b
14170265b32
15ce6d2e83
hex84064dd0

2215005648 has 80 divisors (see below), whose sum is σ = 5958076992. Its totient is φ = 708480000.

The previous prime is 2215005647. The next prime is 2215005659. The reversal of 2215005648 is 8465005122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215005641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110823 + ... + 129273.

Almost surely, 22215005648 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 2215005648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979038496).

2215005648 is an abundant number, since it is smaller than the sum of its proper divisors (3743071344).

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

2215005648 is a wasteful number, since it uses less digits than its factorization.

2215005648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18564 (or 18558 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 2215005648 is about 47063.8465066339. The cubic root of 2215005648 is about 1303.5417518635.

The spelling of 2215005648 in words is "two billion, two hundred fifteen million, five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 61 82 122 123 164 183 244 246 328 366 488 492 656 732 976 984 1464 1968 2501 2928 5002 7503 10004 15006 18451 20008 30012 36902 40016 55353 60024 73804 110706 120048 147608 221412 295216 442824 756491 885648 1125511 1512982 2251022 2269473 3025964 3376533 4502044 4538946 6051928 6753066 9004088 9077892 12103856 13506132 18008176 18155784 27012264 36311568 46145951 54024528 92291902 138437853 184583804 276875706 369167608 553751412 738335216 1107502824 2215005648