[go: up one dir, main page]

Search a number
-
+
2201302000 = 245319531093
BaseRepresentation
bin1000001100110101…
…0011001111110000
312200102010201122201
42003031103033300
514002013131000
61002233312544
7105356521042
oct20315231760
95612121581
102201302000
11a2a639857
12515265754
13291099181
1416c4d9a92
15cd3c796a
hex833533f0

2201302000 has 160 divisors (see below), whose sum is σ = 5713830720. Its totient is φ = 817689600.

The previous prime is 2201301989. The next prime is 2201302007. The reversal of 2201302000 is 2031022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201302007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013454 + ... + 2014546.

It is an arithmetic number, because the mean of its divisors is an integer number (35711442).

Almost surely, 22201302000 is an apocalyptic number.

2201302000 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 2201302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856915360).

2201302000 is an abundant number, since it is smaller than the sum of its proper divisors (3512528720).

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

2201302000 is a wasteful number, since it uses less digits than its factorization.

2201302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2201302000 is about 46918.0349119611. The cubic root of 2201302000 is about 1300.8479674753.

Adding to 2201302000 its reverse (2031022), we get a palindrome (2203333022).

The spelling of 2201302000 in words is "two billion, two hundred one million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 53 76 80 95 100 106 125 152 190 200 212 250 265 304 380 400 424 475 500 530 760 848 950 1000 1007 1060 1093 1325 1520 1900 2000 2014 2120 2186 2375 2650 3800 4028 4240 4372 4750 5035 5300 5465 6625 7600 8056 8744 9500 10070 10600 10930 13250 16112 17488 19000 20140 20767 21200 21860 25175 26500 27325 38000 40280 41534 43720 50350 53000 54650 57929 80560 83068 87440 100700 103835 106000 109300 115858 125875 136625 166136 201400 207670 218600 231716 251750 273250 289645 332272 402800 415340 437200 463432 503500 519175 546500 579290 830680 926864 1007000 1038350 1093000 1100651 1158580 1448225 1661360 2014000 2076700 2186000 2201302 2317160 2595875 2896450 4153400 4402604 4634320 5191750 5503255 5792900 7241125 8306800 8805208 10383500 11006510 11585800 14482250 17610416 20767000 22013020 23171600 27516275 28964500 41534000 44026040 55032550 57929000 88052080 110065100 115858000 137581375 220130200 275162750 440260400 550325500 1100651000 2201302000