Search a number
-
+
223213000301112 = 23331643466590161
BaseRepresentation
bin110010110000001011010011…
…100101111001101000111000
31002021022221202210000020200110
4302300023103211321220320
5213224110211034113422
62110422345310504320
765005415142311163
oct6260132345715070
91067287683006613
10223213000301112
1165139113578968
12210502122050a0
139771b8486a733
143d197d1662ada
151ac143809e60c
hexcb02d3979a38

223213000301112 has 64 divisors (see below), whose sum is σ = 576929403509760. Its totient is φ = 71892211852800.

The previous prime is 223213000301089. The next prime is 223213000301131. The reversal of 223213000301112 is 211103000312322.

It is a super-3 number, since 3×2232130003011123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232816689 + ... + 233773472.

It is an arithmetic number, because the mean of its divisors is an integer number (9014521929840).

Almost surely, 2223213000301112 is an apocalyptic number.

It is an amenable number.

223213000301112 is an abundant number, since it is smaller than the sum of its proper divisors (353716403208648).

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

223213000301112 is a wasteful number, since it uses less digits than its factorization.

223213000301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466590844 (or 466590840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 223213000301112 its reverse (211103000312322), we get a palindrome (434316000613434).

The spelling of 223213000301112 in words is "two hundred twenty-three trillion, two hundred thirteen billion, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 643 744 1286 1929 2572 3858 5144 7716 15432 19933 39866 59799 79732 119598 159464 239196 478392 466590161 933180322 1399770483 1866360644 2799540966 3732721288 5599081932 11198163864 14464294991 28928589982 43392884973 57857179964 86785769946 115714359928 173571539892 300017473523 347143079784 600034947046 900052420569 1200069894092 1800104841138 2400139788184 3600209682276 7200419364552 9300541679213 18601083358426 27901625037639 37202166716852 55803250075278 74404333433704 111606500150556 223213000301112