Search a number
-
+
222342243222 = 231141472716451
BaseRepresentation
bin1100111100010010100…
…0010110001110010110
3210020220102011020102010
43033010220112032112
512120324103240342
6250050445525050
722030563612231
oct3170450261626
9706812136363
10222342243222
1186327444220
1237111b73786
1317c7503c838
14aa934b0418
155bb4b5829c
hex33c4a16396

222342243222 has 128 divisors (see below), whose sum is σ = 509467262976. Its totient is φ = 64087200000.

The previous prime is 222342243217. The next prime is 222342243257.

It is a happy number.

222342243222 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 222342243222.

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, 34463097 + ... + 34469547.

It is an arithmetic number, because the mean of its divisors is an integer number (3980212992).

Almost surely, 2222342243222 is an apocalyptic number.

222342243222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222342243222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254733631488).

222342243222 is an abundant number, since it is smaller than the sum of its proper divisors (287125019754).

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

222342243222 is a wasteful number, since it uses less digits than its factorization.

222342243222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826.

The product of its digits is 36864, while the sum is 30.

It can be divided in two parts, 222342 and 243222, that added together give a palindrome (465564).

The spelling of 222342243222 in words is "two hundred twenty-two billion, three hundred forty-two million, two hundred forty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 47 66 82 94 123 141 246 271 282 451 517 542 813 902 1034 1353 1551 1626 1927 2706 2981 3102 3854 5781 5962 6451 8943 11111 11562 12737 12902 17886 19353 21197 22222 25474 33333 38211 38706 42394 63591 66666 70961 76422 122221 127182 140107 141922 212883 244442 264491 280214 303197 366663 420321 425766 522217 528982 606394 733326 793473 840642 909591 1044434 1566651 1586946 1748221 1819182 2909401 3133302 3335167 3496442 5244663 5744387 5818802 6670334 8728203 10005501 10489326 11488774 12431077 17233161 17456406 19230431 20011002 24862154 34466322 37293231 38460862 57691293 71677061 74586462 82166387 115382586 136741847 143354122 164332774 215031183 246499161 273483694 410225541 430062366 492998322 788447671 820451082 903830257 1576895342 1807660514 2365343013 2711490771 3368821867 4730686026 5422981542 6737643734 10106465601 20212931202 37057040537 74114081074 111171121611 222342243222