Search a number
-
+
233202000332 = 227316137911621
BaseRepresentation
bin1101100100101111101…
…1000010000111001100
3211021221020201001120102
43121023323002013030
512310044203002312
6255044224110232
722563651203540
oct3311373020714
9737836631512
10233202000332
118a99a4a44a4
1239242a65378
1318cb5ba3412
14b4038b5a20
1560ed243ec2
hex364bec21cc

233202000332 has 96 divisors (see below), whose sum is σ = 490675261440. Its totient is φ = 94874976000.

The previous prime is 233202000331. The next prime is 233202000349. The reversal of 233202000332 is 233000202332.

233202000332 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2332020003322 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233202000331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20061482 + ... + 20073102.

It is an arithmetic number, because the mean of its divisors is an integer number (5111200640).

Almost surely, 2233202000332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233202000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245337630720).

233202000332 is an abundant number, since it is smaller than the sum of its proper divisors (257473261108).

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

233202000332 is a wasteful number, since it uses less digits than its factorization.

233202000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103 (or 12101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 233202000332 its reverse (233000202332), we get a palindrome (466202202664).

It can be divided in two parts, 233202000 and 332, that added together give a palindrome (233202332).

The spelling of 233202000332 in words is "two hundred thirty-three billion, two hundred two million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 31 61 62 122 124 217 244 379 427 434 758 854 868 1516 1708 1891 2653 3782 5306 7564 10612 11621 11749 13237 23119 23242 23498 26474 46238 46484 46996 52948 81347 82243 92476 161833 162694 164486 323666 325388 328972 360251 647332 708881 716689 720502 1417762 1433378 1441004 2521757 2835524 2866756 4404359 4962167 5016823 5043514 8808718 9924334 10033646 10087028 17617436 19848668 20067292 21975311 30830513 43950622 61661026 87901244 123322052 136535129 153827177 268665899 273070258 307654354 537331798 546140516 615308708 955745903 1074663596 1880661293 1911491806 3761322586 3822983612 7522645172 8328642869 16657285738 33314571476 58300500083 116601000166 233202000332