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2201008560 = 243516356263
BaseRepresentation
bin1000001100110000…
…1011100110110000
312200101120211010120
42003030023212300
514001424233220
61002223130240
7105354156402
oct20314134660
95611524116
102201008560
11a2a459343
12515143980
13290cc573a
1416c460b72
15cd36aa40
hex8330b9b0

2201008560 has 80 divisors (see below), whose sum is σ = 6865108224. Its totient is φ = 583324416.

The previous prime is 2201008559. The next prime is 2201008573. The reversal of 2201008560 is 658001022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2201008560.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10989 + ... + 67251.

Almost surely, 22201008560 is an apocalyptic number.

2201008560 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 2201008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432554112).

2201008560 is an abundant number, since it is smaller than the sum of its proper divisors (4664099664).

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

2201008560 is a wasteful number, since it uses less digits than its factorization.

2201008560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56442 (or 56436 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2201008560 is about 46914.9076520460. The cubic root of 2201008560 is about 1300.7901626261.

Adding to 2201008560 its reverse (658001022), we get a palindrome (2859009582).

The spelling of 2201008560 in words is "two billion, two hundred one million, eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 6520 7824 9780 13040 19560 39120 56263 112526 168789 225052 281315 337578 450104 562630 675156 843945 900208 1125260 1350312 1687890 2250520 2700624 3375780 4501040 6751560 9170869 13503120 18341738 27512607 36683476 45854345 55025214 73366952 91708690 110050428 137563035 146733904 183417380 220100856 275126070 366834760 440201712 550252140 733669520 1100504280 2201008560