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223222232010102 = 231317691383363559
BaseRepresentation
bin110010110000010011111001…
…110110000100110101110110
31002021100211121011002122200020
4302300103321312010311312
5213224233112343310402
62110430513330230010
765006163000453513
oct6260237166046566
91067324534078606
10223222232010102
116514202063a526
1221051b69a25306
1397729c6327b30
143d1a02975230a
151ac17c879a8bc
hexcb04f9d84d76

223222232010102 has 128 divisors (see below), whose sum is σ = 509945634616320. Its totient is φ = 64532135669760.

The previous prime is 223222232010091. The next prime is 223222232010103. The reversal of 223222232010102 is 201010232222322.

It is a super-3 number, since 3×2232222320101023 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223222232010103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3512015799 + ... + 3512079357.

It is an arithmetic number, because the mean of its divisors is an integer number (3983950270440).

Almost surely, 2223222232010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223222232010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254972817308160).

223222232010102 is an abundant number, since it is smaller than the sum of its proper divisors (286723402606218).

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

223222232010102 is a wasteful number, since it uses less digits than its factorization.

223222232010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68118.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 223222232010102 its reverse (201010232222322), we get a palindrome (424232464232424).

The spelling of 223222232010102 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, two hundred thirty-two million, ten thousand, one hundred two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 691 1326 1382 2073 3833 4146 7666 8983 11499 11747 17966 22998 23494 26949 35241 49829 53898 63559 65161 70482 99658 127118 130322 149487 152711 190677 195483 298974 305422 381354 390966 458133 826267 847093 916266 1080503 1652534 1694186 2161006 2478801 2541279 2648603 3241509 4957602 5082558 5297206 6483018 7945809 14046539 15891618 28093078 34431839 42139617 43919269 45026251 68863678 84279234 87838538 90052502 103295517 131757807 135078753 206591034 243621647 263515614 270157506 487243294 570950497 585341263 730864941 746627573 1141900994 1170682526 1461729882 1493255146 1712851491 1756023789 2239882719 3167081411 3425702982 3512047578 4141567999 4479765438 6334162822 8283135998 9501244233 9706158449 12424703997 19002488466 19412316898 24849407994 29118475347 53840383987 58236950694 107680767974 161521151961 168342558077 323042303922 336685116154 505027674231 1010055348462 2188453255001 2861823487309 4376906510002 5723646974618 6565359765003 8585470461927 13130719530006 17170940923854 37203705335017 74407410670034 111611116005051 223222232010102