Search a number
-
+
22021020221220 = 22325177196411837
BaseRepresentation
bin1010000000111001010110…
…00101100111111100100100
32212222012002202120020021200
411000130223011213330210
510341243022134034340
6114500152251242500
74431652260324516
oct500345305477444
985865082506250
1022021020221220
117020075912179
1225779a3149430
13c3975b6bcc17
14561b746c5bb6
15282c3d457330
hex14072b167f24

22021020221220 has 72 divisors (see below), whose sum is σ = 70726335543864. Its totient is φ = 5526844290048.

The previous prime is 22021020221219. The next prime is 22021020221273. The reversal of 22021020221220 is 2212202012022.

22021020221220 is a `hidden beast` number, since 2 + 20 + 210 + 202 + 212 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6245570784996 + 15775449436224 = 2499114^2 + 3971832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22021020221193 and 22021020221202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3598202859 + ... + 3598208978.

It is an arithmetic number, because the mean of its divisors is an integer number (982310215887).

Almost surely, 222021020221220 is an apocalyptic number.

22021020221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021020221220 is an abundant number, since it is smaller than the sum of its proper divisors (48705315322644).

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

22021020221220 is a wasteful number, since it uses less digits than its factorization.

22021020221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7196411869 (or 7196411864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22021020221220 its reverse (2212202012022), we get a palindrome (24233222233242).

The spelling of 22021020221220 in words is "twenty-two trillion, twenty-one billion, twenty million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7196411837 14392823674 21589235511 28785647348 35982059185 43178471022 64767706533 71964118370 86356942044 107946177555 122339001229 129535413066 143928236740 215892355110 244678002458 259070826132 323838532665 367017003687 431784710220 489356004916 611695006145 647677065330 734034007374 1101051011061 1223390012290 1295354130660 1468068014748 1835085018435 2202102022122 2446780024580 3670170036870 4404204044244 5505255055305 7340340073740 11010510110610 22021020221220