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2201313120 = 25354586069
BaseRepresentation
bin1000001100110101…
…0101111101100000
312200102011021220120
42003031111331200
514002014004440
61002233440240
7105356565336
oct20315257540
95612137816
102201313120
11a2a647146
12515270080
132910a1256
1416c4ddb56
15cd3cadd0
hex83355f60

2201313120 has 48 divisors (see below), whose sum is σ = 6934137840. Its totient is φ = 587016704.

The previous prime is 2201313091. The next prime is 2201313133. The reversal of 2201313120 is 213131022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201313120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2292555 + ... + 2293514.

It is an arithmetic number, because the mean of its divisors is an integer number (144461205).

Almost surely, 22201313120 is an apocalyptic number.

2201313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201313120 is an abundant number, since it is smaller than the sum of its proper divisors (4732824720).

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

2201313120 is a wasteful number, since it uses less digits than its factorization.

2201313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586087 (or 4586079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2201313120 is about 46918.1534163483. The cubic root of 2201313120 is about 1300.8501579070.

Adding to 2201313120 its reverse (213131022), we get a palindrome (2414444142).

The spelling of 2201313120 in words is "two billion, two hundred one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4586069 9172138 13758207 18344276 22930345 27516414 36688552 45860690 55032828 68791035 73377104 91721380 110065656 137582070 146754208 183442760 220131312 275164140 366885520 440262624 550328280 733771040 1100656560 2201313120