Search a number
-
+
233220321220432 = 24713199804918553
BaseRepresentation
bin110101000001110011010110…
…011001101001011101010000
31010120202122102011211201211211
4311001303112121221131100
5221032040204213023212
62144003534140345504
7100060416654522550
oct6501632631513520
91116678364751754
10233220321220432
1168347201318a27
12221a77b1845294
13a019774642680
144183cd0ba9160
151be68e0a9d9a7
hexd41cd6669750

233220321220432 has 80 divisors (see below), whose sum is σ = 558935443897600. Its totient is φ = 91799351018496.

The previous prime is 233220321220429. The next prime is 233220321220459. The reversal of 233220321220432 is 234022123022332.

It is a super-2 number, since 2×2332203212204322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233220321220394 and 233220321220403.

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, 402169533 + ... + 402749020.

It is an arithmetic number, because the mean of its divisors is an integer number (6986693048720).

Almost surely, 2233220321220432 is an apocalyptic number.

It is an amenable number.

233220321220432 is an abundant number, since it is smaller than the sum of its proper divisors (325715122677168).

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

233220321220432 is a wasteful number, since it uses less digits than its factorization.

233220321220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804918780 (or 804918774 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 233220321220432 its reverse (234022123022332), we get a palindrome (467242444242764).

The spelling of 233220321220432 in words is "two hundred thirty-three trillion, two hundred twenty billion, three hundred twenty-one million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 199 208 364 398 728 796 1393 1456 1592 2587 2786 3184 5174 5572 10348 11144 18109 20696 22288 36218 41392 72436 144872 289744 804918553 1609837106 3219674212 5634429871 6439348424 10463941189 11268859742 12878696848 20927882378 22537719484 41855764756 45075438968 73247588323 83711529512 90150877936 146495176646 160178792047 167423059024 292990353292 320357584094 585980706584 640715168188 1121251544329 1171961413168 1281430336376 2082324296611 2242503088658 2562860672752 4164648593222 4485006177316 8329297186444 8970012354632 14576270076277 16658594372888 17940024709264 29152540152554 33317188745776 58305080305108 116610160610216 233220321220432