Search a number
-
+
2220211000 = 235372910937
BaseRepresentation
bin1000010001010101…
…1011101100111000
312201201201101221001
42010111123230320
514021333223000
61004150454344
7106006324240
oct20425335470
95651641831
102220211000
11a3a284427
1251b6643b4
13294c89b27
14170c1cb20
15cedb046a
hex8455bb38

2220211000 has 128 divisors (see below), whose sum is σ = 6142780800. Its totient is φ = 734899200.

The previous prime is 2220210983. The next prime is 2220211001. The reversal of 2220211000 is 1120222.

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 (2220211001) 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, 197532 + ... + 208468.

It is an arithmetic number, because the mean of its divisors is an integer number (47990475).

Almost surely, 22220211000 is an apocalyptic number.

2220211000 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 2220211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071390400).

2220211000 is an abundant number, since it is smaller than the sum of its proper divisors (3922569800).

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

2220211000 is a wasteful number, since it uses less digits than its factorization.

2220211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10994 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2220211000 is about 47119.1150171563. The cubic root of 2220211000 is about 1304.5620781223.

Adding to 2220211000 its reverse (1120222), we get a palindrome (2221331222).

The spelling of 2220211000 in words is "two billion, two hundred twenty million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2030 2900 3500 3625 4060 5075 5800 7000 7250 8120 10150 10937 14500 20300 21874 25375 29000 40600 43748 50750 54685 76559 87496 101500 109370 153118 203000 218740 273425 306236 317173 382795 437480 546850 612472 634346 765590 1093700 1268692 1367125 1531180 1585865 1913975 2187400 2220211 2537384 2734250 3062360 3171730 3827950 4440422 5468500 6343460 7655900 7929325 8880844 9569875 10937000 11101055 12686920 15311800 15858650 17761688 19139750 22202110 31717300 38279500 39646625 44404220 55505275 63434600 76559000 79293250 88808440 111010550 158586500 222021100 277526375 317173000 444042200 555052750 1110105500 2220211000