Search a number
-
+
1221020220 = 2235721992087
BaseRepresentation
bin100100011000111…
…0100101000111100
310011002120020212010
41020301310220330
510000040121340
6321054411220
742154333500
oct11061645074
93132506763
101221020220
11577263622
122a0b00b10
13165c74094
14b8242300
15722ddb80
hex48c74a3c

1221020220 has 144 divisors (see below), whose sum is σ = 3998937600. Its totient is φ = 277554816.

The previous prime is 1221020183. The next prime is 1221020231. The reversal of 1221020220 is 220201221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1221020196 and 1221020205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584017 + ... + 586103.

It is an arithmetic number, because the mean of its divisors is an integer number (27770400).

Almost surely, 21221020220 is an apocalyptic number.

1221020220 is a gapful number since it is divisible by the number (10) 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 1221020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999468800).

1221020220 is an abundant number, since it is smaller than the sum of its proper divisors (2777917380).

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

1221020220 is a wasteful number, since it uses less digits than its factorization.

1221020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1221020220 is about 34943.0997480189. The cubic root of 1221020220 is about 1068.8274983644.

Adding to 1221020220 its reverse (220201221), we get a palindrome (1441221441).

The spelling of 1221020220 in words is "one billion, two hundred twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 199 210 245 294 398 420 490 588 597 735 796 980 995 1194 1393 1470 1990 2087 2388 2786 2940 2985 3980 4174 4179 5572 5970 6261 6965 8348 8358 9751 10435 11940 12522 13930 14609 16716 19502 20870 20895 25044 27860 29218 29253 31305 39004 41740 41790 43827 48755 58436 58506 62610 73045 83580 87654 97510 102263 117012 125220 146090 146265 175308 195020 204526 219135 292180 292530 306789 409052 415313 438270 511315 585060 613578 830626 876540 1022630 1227156 1245939 1533945 1661252 2045260 2076565 2491878 2907191 3067890 4153130 4983756 5814382 6135780 6229695 8306260 8721573 11628764 12459390 14535955 17443146 20350337 24918780 29071910 34886292 40700674 43607865 58143820 61051011 81401348 87215730 101751685 122102022 174431460 203503370 244204044 305255055 407006740 610510110 1221020220