Search a number
-
+
2210110020 = 22325192328097
BaseRepresentation
bin1000001110111011…
…1001101001000100
312201000201012222200
42003232321221010
514011242010040
61003150154500
7105524424306
oct20356715104
95630635880
102210110020
11a34605408
125181b2a30
13292b61311
1416d74d976
15ce067630
hex83bb9a44

2210110020 has 144 divisors (see below), whose sum is σ = 7363923840. Its totient is φ = 534048768.

The previous prime is 2210110009. The next prime is 2210110027. The reversal of 2210110020 is 200110122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2210109984 and 2210110011.

It is not an unprimeable number, because it can be changed into a prime (2210110027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64612 + ... + 92708.

It is an arithmetic number, because the mean of its divisors is an integer number (51138360).

Almost surely, 22210110020 is an apocalyptic number.

2210110020 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 2210110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681961920).

2210110020 is an abundant number, since it is smaller than the sum of its proper divisors (5153813820).

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

2210110020 is a wasteful number, since it uses less digits than its factorization.

2210110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28154 (or 28149 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2210110020 is about 47011.8072403093. The cubic root of 2210110020 is about 1302.5806763786.

Adding to 2210110020 its reverse (200110122), we get a palindrome (2410220142).

The spelling of 2210110020 in words is "two billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 460 570 684 690 828 855 874 1035 1140 1311 1380 1710 1748 2070 2185 2622 3420 3933 4140 4370 5244 6555 7866 8740 13110 15732 19665 26220 28097 39330 56194 78660 84291 112388 140485 168582 252873 280970 337164 421455 505746 533843 561940 646231 842910 1011492 1067686 1264365 1292462 1601529 1685820 1938693 2135372 2528730 2584924 2669215 3203058 3231155 3877386 4804587 5057460 5338430 5816079 6406116 6462310 7754772 8007645 9609174 9693465 10676860 11632158 12278389 12924620 16015290 19218348 19386930 23264316 24022935 24556778 29080395 32030580 36835167 38773860 48045870 49113556 58160790 61391945 73670334 96091740 110505501 116321580 122783890 147340668 184175835 221011002 245567780 368351670 442022004 552527505 736703340 1105055010 2210110020