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2201330320 = 24574618527
BaseRepresentation
bin1000001100110101…
…1010001010010000
312200102012011111121
42003031122022100
514002020032240
61002234052024
7105356666440
oct20315321220
95612164447
102201330320
11a2a659062
1251527a014
132910a9027
1416c506120
15cd3d104a
hex8335a290

2201330320 has 80 divisors (see below), whose sum is σ = 5862624768. Its totient is φ = 753016320.

The previous prime is 2201330311. The next prime is 2201330353. The reversal of 2201330320 is 230331022.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 2201330294 and 2201330303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253897 + ... + 262423.

Almost surely, 22201330320 is an apocalyptic number.

2201330320 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 2201330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931312384).

2201330320 is an abundant number, since it is smaller than the sum of its proper divisors (3661294448).

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

2201330320 is a wasteful number, since it uses less digits than its factorization.

2201330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2201330320 is about 46918.3367139118. The cubic root of 2201330320 is about 1300.8535459703.

Adding to 2201330320 its reverse (230331022), we get a palindrome (2431661342).

The spelling of 2201330320 in words is "two billion, two hundred one million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 461 560 922 1844 2305 3227 3688 4610 6454 7376 8527 9220 12908 16135 17054 18440 25816 32270 34108 36880 42635 51632 59689 64540 68216 85270 119378 129080 136432 170540 238756 258160 298445 341080 477512 596890 682160 955024 1193780 2387560 3930947 4775120 7861894 15723788 19654735 27516629 31447576 39309470 55033258 62895152 78618940 110066516 137583145 157237880 220133032 275166290 314475760 440266064 550332580 1100665160 2201330320