Search a number
-
+
2201301000 = 233253244589
BaseRepresentation
bin1000001100110101…
…0011000000001000
312200102010200021200
42003031103000020
514002013113000
61002233304200
7105356515113
oct20315230010
95612120250
102201301000
11a2a639028
12515265060
13291098892
1416c4d957a
15cd3c7500
hex83353008

2201301000 has 96 divisors (see below), whose sum is σ = 7440427800. Its totient is φ = 587011200.

The previous prime is 2201300971. The next prime is 2201301001. The reversal of 2201301000 is 1031022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1197298404 + 1004002596 = 34602^2 + 31686^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2201301001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113295 + ... + 131294.

Almost surely, 22201301000 is an apocalyptic number.

2201301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201301000 is an abundant number, since it is smaller than the sum of its proper divisors (5239126800).

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

2201301000 is a wasteful number, since it uses less digits than its factorization.

2201301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244616 (or 244599 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2201301000 is about 46918.0242550771. The cubic root of 2201301000 is about 1300.8477704937.

Adding to 2201301000 its reverse (1031022), we get a palindrome (2202332022).

The spelling of 2201301000 in words is "two billion, two hundred one million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 244589 489178 733767 978356 1222945 1467534 1956712 2201301 2445890 2935068 3668835 4402602 4891780 5870136 6114725 7337670 8805204 9783560 11006505 12229450 14675340 17610408 18344175 22013010 24458900 29350680 30573625 36688350 44026020 48917800 55032525 61147250 73376700 88052040 91720875 110065050 122294500 146753400 183441750 220130100 244589000 275162625 366883500 440260200 550325250 733767000 1100650500 2201301000