Search a number
-
+
224223220221 = 371113375573623
BaseRepresentation
bin1101000011010010111…
…1101101000111111101
3210102202111112202202220
43100310233231013331
512133202121021341
6251001241435553
722125313632210
oct3206457550775
9712674482686
10224223220221
1187102187070
1237557a9bbb9
13181b4942890
14abd1225777
155c74d59a66
hex3434bed1fd

224223220221 has 128 divisors (see below), whose sum is σ = 413109559296. Its totient is φ = 104397050880.

The previous prime is 224223220201. The next prime is 224223220253. The reversal of 224223220221 is 122022322422.

It is not a de Polignac number, because 224223220221 - 27 = 224223220093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224223220191 and 224223220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224223220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61887016 + ... + 61890638.

It is an arithmetic number, because the mean of its divisors is an integer number (3227418432).

Almost surely, 2224223220221 is an apocalyptic number.

224223220221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224223220221 is a deficient number, since it is larger than the sum of its proper divisors (188886339075).

224223220221 is a wasteful number, since it uses less digits than its factorization.

224223220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224223220221 its reverse (122022322422), we get a palindrome (346245542643).

It can be divided in two parts, 224223 and 220221, that added together give a palindrome (444444).

The spelling of 224223220221 in words is "two hundred twenty-four billion, two hundred twenty-three million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 557 777 1001 1221 1443 1671 2849 3003 3367 3623 3899 5291 6127 7241 8547 10101 10869 11697 15873 18381 20609 21723 25361 37037 39853 42889 47099 50687 61827 76083 79651 111111 119559 128667 134051 141297 144263 152061 226699 238953 267917 278971 329693 402153 432789 518089 557557 680097 803751 836913 938357 989079 1474561 1554267 1586893 1672671 1742663 1875419 2018011 2815071 2947087 3626623 4423683 4760679 5227989 5626257 6054033 8841261 10321927 10879869 12198641 14126077 19169293 20629609 22198121 26234143 30965781 36595923 42378231 57507879 61888827 66594363 74666407 78702429 134185051 155386847 183639001 223999221 288575573 402555153 466160541 522664849 550917003 821330477 865726719 970663291 1567994547 2020029011 2463991431 2911989873 5749313339 6060087033 6794643037 10677296201 17247940017 20383929111 32031888603 74741073407 224223220221