Search a number
-
+
33232200223233 = 31117421667921067
BaseRepresentation
bin1111000111001011110010…
…11111010100101000000001
311100122222010011122112200010
413203211321133110220001
513323434021224120413
6154402354555215133
76666642621105204
oct743457137245001
9140588104575603
1033232200223233
11a652773734270
1238887587474a9
131570a2443253b
1482c638aa793b
153c96a482ddc3
hex1e39797d4a01

33232200223233 has 64 divisors (see below), whose sum is σ = 51312829777920. Its totient is φ = 18907223731200.

The previous prime is 33232200223193. The next prime is 33232200223249.

33232200223233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33232200223233 - 26 = 33232200223169 is a prime.

It is a super-2 number, since 2×332322002232332 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33232200223233.

It is not an unprimeable number, because it can be changed into a prime (33232200223253) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1577442366 + ... + 1577463432.

It is an arithmetic number, because the mean of its divisors is an integer number (801762965280).

Almost surely, 233232200223233 is an apocalyptic number.

33232200223233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33232200223233 is a deficient number, since it is larger than the sum of its proper divisors (18080629554687).

33232200223233 is a wasteful number, since it uses less digits than its factorization.

33232200223233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28198.

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 33232200 and 223233, that added together give a palindrome (33455433).

The spelling of 33232200223233 in words is "thirty-three trillion, two hundred thirty-two billion, two hundred million, two hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 11 17 33 51 187 421 561 1263 4631 6679 7157 13893 20037 21067 21471 63201 73469 78727 113543 220407 231737 236181 340629 358139 695211 1074417 1248973 2811859 3746919 3939529 8435577 8869207 11818587 26607621 30930449 47801603 92791347 97561277 140706493 143404809 150776519 292683831 422119479 452329557 525817633 1547771423 1577452899 1658541709 2392010381 4643314269 4975625127 7176031143 26312114191 59237433553 78936342573 177712300659 651611769083 1007036370401 1954835307249 3021109111203 11077400074411 33232200223233