Search a number
-
+
332023200033200 = 2452131783308911593
BaseRepresentation
bin100101101111110010010110…
…0111001010010100110110000
31121112121002220200102222212012
41023133210230321102212300
5322004332003202030300
63134053204041422052
7126635612262540164
oct11337445471224660
91545532820388765
10332023200033200
119687a280656715
12312a43a1a9a928
1311335865733a10
145bdc019950ca4
15285ba43289435
hex12df92ce529b0

332023200033200 has 240 divisors, whose sum is σ = 859880398090560. Its totient is φ = 122474194698240.

The previous prime is 332023200033179. The next prime is 332023200033211. The reversal of 332023200033200 is 2330002320233.

It is a super-2 number, since 2×3320232000332002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28639966604 + ... + 28639978196.

It is an arithmetic number, because the mean of its divisors is an integer number (3582834992044).

Almost surely, 2332023200033200 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 332023200033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429940199045280).

332023200033200 is an abundant number, since it is smaller than the sum of its proper divisors (527857198057360).

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

332023200033200 is a wasteful number, since it uses less digits than its factorization.

332023200033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16496 (or 16485 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

Adding to 332023200033200 its reverse (2330002320233), we get a palindrome (334353202353433).

The spelling of 332023200033200 in words is "three hundred thirty-two trillion, twenty-three billion, two hundred million, thirty-three thousand, two hundred".