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2223331220331 = 3313192343337091
BaseRepresentation
bin100000010110101000110…
…111100001101101101011
321212112210202221022221000
4200112220313201231223
5242411340243022311
64421215000050043
7316426135361424
oct40265067415553
97775722838830
102223331220331
11787a0056a161
122baa91163923
13131875451a60
147987743c64b
153cc7988b056
hex205a8de1b6b

2223331220331 has 128 divisors (see below), whose sum is σ = 3986854502400. Its totient is φ = 1210999870080.

The previous prime is 2223331220321. The next prime is 2223331220339. The reversal of 2223331220331 is 1330221333222.

2223331220331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2223331220331 - 219 = 2223330696043 is a prime.

It is a super-2 number, since 2×22233312203312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2223331220295 and 2223331220304.

It is not an unprimeable number, because it can be changed into a prime (2223331220339) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6427096 + ... + 6764186.

It is an arithmetic number, because the mean of its divisors is an integer number (31147300800).

Almost surely, 22223331220331 is an apocalyptic number.

2223331220331 is a deficient number, since it is larger than the sum of its proper divisors (1763523282069).

2223331220331 is a wasteful number, since it uses less digits than its factorization.

2223331220331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337198 (or 337192 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2223331220331 its reverse (1330221333222), we get a palindrome (3553552553553).

The spelling of 2223331220331 in words is "two trillion, two hundred twenty-three billion, three hundred thirty-one million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 13 19 23 27 39 43 57 69 117 129 171 207 247 299 351 387 437 513 559 621 741 817 897 989 1161 1311 1677 2223 2451 2691 2967 3933 5031 5681 6669 7353 8073 8901 10621 11799 12857 15093 17043 18791 22059 26703 31863 38571 51129 56373 95589 115713 153387 169119 244283 286767 337091 347139 507357 732849 1011273 2198547 3033819 4382183 6404729 6595641 7753093 9101457 13146549 14494913 19214187 23259279 39439647 43484739 57642561 69777837 83261477 100790209 118318941 130454217 147308767 172927683 188433869 209333511 249784431 275403347 302370627 333382999 391362651 441926301 565301607 749353293 826210041 907111881 1000148997 1325778903 1695904821 1915013971 2248059879 2478630123 2721335643 3000446991 3580243511 3977336709 4333978987 5087714463 5745041913 6334276981 7435890369 9001340973 10740730533 13001936961 17235125739 19002830943 32222191599 39005810883 51705377217 57008492829 82345600753 96666574797 117017432649 171025478487 247036802259 741110406777 2223331220331