Search a number
-
+
2210206160 = 2451923191331
BaseRepresentation
bin1000001110111101…
…0001000111010000
312201000220002212102
42003233101013100
514011303044120
61003152215532
7105525304511
oct20357210720
95630802772
102210206160
11a34670668
1251823a5a8
13292b95cc6
1416d776a08
15ce085d75
hex83bd11d0

2210206160 has 160 divisors (see below), whose sum is σ = 5691064320. Its totient is φ = 794534400.

The previous prime is 2210206133. The next prime is 2210206169. The reversal of 2210206160 is 616020122.

It is a happy number.

It is a super-2 number, since 2×22102061602 = 9770022539403891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210206169) 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, 6677195 + ... + 6677525.

It is an arithmetic number, because the mean of its divisors is an integer number (35569152).

Almost surely, 22210206160 is an apocalyptic number.

2210206160 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 2210206160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845532160).

2210206160 is an abundant number, since it is smaller than the sum of its proper divisors (3480858160).

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

2210206160 is a wasteful number, since it uses less digits than its factorization.

2210206160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2210206160 is about 47012.8297382746. The cubic root of 2210206160 is about 1302.5995635667.

Adding to 2210206160 its reverse (616020122), we get a palindrome (2826226282).

The spelling of 2210206160 in words is "two billion, two hundred ten million, two hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 191 230 304 331 368 380 382 437 460 662 760 764 874 920 955 1324 1520 1528 1655 1748 1840 1910 2185 2648 3056 3310 3496 3629 3820 4370 4393 5296 6289 6620 6992 7258 7613 7640 8740 8786 12578 13240 14516 15226 15280 17480 17572 18145 21965 25156 26480 29032 30452 31445 34960 35144 36290 38065 43930 50312 58064 60904 62890 63221 70288 72580 76130 83467 87860 100624 121808 125780 126442 144647 145160 152260 166934 175720 251560 252884 289294 290320 304520 316105 333868 351440 417335 503120 505768 578588 609040 632210 667736 723235 834670 1011536 1157176 1201199 1264420 1335472 1446470 1454083 1669340 2314352 2402398 2528840 2892940 2908166 3338680 4804796 5057680 5785880 5816332 6005995 6677360 7270415 9609592 11571760 11632664 12011990 14540830 19219184 23265328 24023980 27627577 29081660 48047960 55255154 58163320 96095920 110510308 116326640 138137885 221020616 276275770 442041232 552551540 1105103080 2210206160