Search a number
-
+
332202003221 = 11219199372503
BaseRepresentation
bin1001101010110001100…
…10000100101100010101
31011202110201200021200002
410311120302010230111
520420322203100341
6412340025501045
733000163302554
oct4653062045425
91152421607602
10332202003221
11118982408a00
1254471941785
132543247709a
1412115bc9d9b
15899479d29b
hex4d58c84b15

332202003221 has 24 divisors (see below), whose sum is σ = 384564116160. Its totient is φ = 285959488320.

The previous prime is 332202003209. The next prime is 332202003223. The reversal of 332202003221 is 122300202233.

It is not a de Polignac number, because 332202003221 - 26 = 332202003157 is a prime.

It is a super-2 number, since 2×3322020032212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332202003193 and 332202003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332202003223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4545656 + ... + 4618158.

It is an arithmetic number, because the mean of its divisors is an integer number (16023504840).

Almost surely, 2332202003221 is an apocalyptic number.

It is an amenable number.

332202003221 is a deficient number, since it is larger than the sum of its proper divisors (52362112939).

332202003221 is a wasteful number, since it uses less digits than its factorization.

332202003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74537 (or 74526 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 332202003221 its reverse (122300202233), we get a palindrome (454502205454).

The spelling of 332202003221 in words is "three hundred thirty-two billion, two hundred two million, three thousand, two hundred twenty-one".

Divisors: 1 11 19 121 209 1993 2299 21923 37867 72503 241153 416537 797533 1377557 4581907 8772863 15153127 144498479 166684397 1589483269 2745471101 17484315959 30200182111 332202003221