Search a number
-
+
2232213230302 = 21117197125117627
BaseRepresentation
bin100000011110111010010…
…001101101001011011110
321220101201210000012001021
4200132322101231023132
5243033033041332202
64425244204234354
7320162216252266
oct40367221551336
97811653005037
102232213230302
117907491a1770
1230074b83b9ba
1313265c62cc63
147a07acdc7a6
153d0e950ca37
hex207ba46d2de

2232213230302 has 128 divisors (see below), whose sum is σ = 4145157918720. Its totient is φ = 888350400000.

The previous prime is 2232213230287. The next prime is 2232213230323. The reversal of 2232213230302 is 2030323122322.

It is a super-3 number, since 3×22322132303023 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126627213 + ... + 126644839.

It is an arithmetic number, because the mean of its divisors is an integer number (32384046240).

Almost surely, 22232213230302 is an apocalyptic number.

2232213230302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2232213230302 is a deficient number, since it is larger than the sum of its proper divisors (1912944688418).

2232213230302 is a wasteful number, since it uses less digits than its factorization.

2232213230302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17998.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 2232213230302 its reverse (2030323122322), we get a palindrome (4262536352624).

The spelling of 2232213230302 in words is "two trillion, two hundred thirty-two billion, two hundred thirteen million, two hundred thirty thousand, three hundred two".

Divisors: 1 2 11 17 19 22 34 38 71 142 187 209 251 323 374 418 502 646 781 1207 1349 1562 2414 2698 2761 3553 4267 4769 5522 7106 8534 9538 13277 14839 17627 17821 22933 26554 29678 35254 35642 45866 46937 52459 81073 93874 104918 162146 193897 196031 252263 299659 302957 334913 338599 387794 392062 504526 599318 605914 669826 677198 891803 1251517 1783606 2503034 3296249 3332527 3684043 3724589 4424377 5693521 5756183 6592498 6665054 7368086 7449178 8848754 11387042 11512366 13766687 21275789 23778823 27533374 42551578 47557646 48668147 62628731 63318013 75214409 84063163 97336294 125257462 126636026 150428818 168126326 234033679 261567053 314130767 404239991 468067358 523134106 628261534 808479982 827358499 924694793 1429073771 1654716998 1849389586 2858147542 3455438437 4446639901 5340223039 5968484573 6910876874 8893279802 10680446078 11936969146 15719811481 31439622962 58742453429 65653330303 101464237741 117484906858 131306660606 202928475482 1116106615151 2232213230302