Search a number
-
+
32233120224 = 253418189309
BaseRepresentation
bin11110000001001111…
…100110000111100000
310002012101022011102120
4132001033212013200
51012003134321344
622450243344240
72220524000304
oct360117460740
9102171264376
1032233120224
1112740835338
1262b6982080
133068c21a06
1417bac67d04
15c89bd9219
hex7813e61e0

32233120224 has 48 divisors (see below), whose sum is σ = 86675657040. Its totient is φ = 10482314240.

The previous prime is 32233120211. The next prime is 32233120259. The reversal of 32233120224 is 42202133223.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 32233120194 and 32233120203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4090719 + ... + 4098590.

It is an arithmetic number, because the mean of its divisors is an integer number (1805742855).

Almost surely, 232233120224 is an apocalyptic number.

It is an amenable number.

32233120224 is an abundant number, since it is smaller than the sum of its proper divisors (54442536816).

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

32233120224 is a wasteful number, since it uses less digits than its factorization.

32233120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8189363 (or 8189355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32233120224 its reverse (42202133223), we get a palindrome (74435253447).

The spelling of 32233120224 in words is "thirty-two billion, two hundred thirty-three million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 8189309 16378618 24567927 32757236 49135854 65514472 98271708 131028944 196543416 262057888 335761669 393086832 671523338 786173664 1007285007 1343046676 2014570014 2686093352 4029140028 5372186704 8058280056 10744373408 16116560112 32233120224