Search a number
-
+
223211233300 = 225211540737529
BaseRepresentation
bin1100111111100001101…
…1010010000000010100
3210100010222022111200211
43033320123102000110
512124114033431200
6250313011215204
722061245115056
oct3177033220024
9710128274624
10223211233300
1186732a16340
1237314ba7504
1318083099653
14ab36a778d6
155c160ababa
hex33f86d2014

223211233300 has 72 divisors (see below), whose sum is σ = 528513672960. Its totient is φ = 81150547200.

The previous prime is 223211233169. The next prime is 223211233303. The reversal of 223211233300 is 3332112322.

223211233300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232112333003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223211233303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5928936 + ... + 5966464.

It is an arithmetic number, because the mean of its divisors is an integer number (7340467680).

Almost surely, 2223211233300 is an apocalyptic number.

223211233300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223211233300 is an abundant number, since it is smaller than the sum of its proper divisors (305302439660).

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

223211233300 is a wasteful number, since it uses less digits than its factorization.

223211233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42961 (or 42954 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 223211233300 its reverse (3332112322), we get a palindrome (226543345622).

The spelling of 223211233300 in words is "two hundred twenty-three billion, two hundred eleven million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 5407 10814 21628 27035 37529 54070 59477 75058 108140 118954 135175 150116 187645 237908 270350 297385 375290 412819 540700 594770 750580 825638 938225 1189540 1486925 1651276 1876450 2064095 2973850 3752900 4128190 5947700 8256380 10320475 20640950 41281900 202919303 405838606 811677212 1014596515 2029193030 2232112333 4058386060 4464224666 5072982575 8928449332 10145965150 11160561665 20291930300 22321123330 44642246660 55802808325 111605616650 223211233300