Search a number
-
+
332020033000 = 23531361243953
BaseRepresentation
bin1001101010011011110…
…11111010010111101000
31011202000001021020110021
410311031323322113220
520414434112024000
6412310005330224
732662523500255
oct4651573722750
91152001236407
10332020033000
1111889971aa97
1254420a06974
13254038634b6
14120d997c42c
15898380611a
hex4d4defa5e8

332020033000 has 64 divisors (see below), whose sum is σ = 777500914320. Its totient is φ = 132709888000.

The previous prime is 332020032989. The next prime is 332020033013. The reversal of 332020033000 is 330020233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 444450724 + 331575582276 = 21082^2 + 575826^2 .

It is a super-2 number, since 2×3320200330002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1239024 + ... + 1482976.

Almost surely, 2332020033000 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 332020033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388750457160).

332020033000 is an abundant number, since it is smaller than the sum of its proper divisors (445480881320).

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

332020033000 is a wasteful number, since it uses less digits than its factorization.

332020033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245335 (or 245321 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 332020033000 its reverse (330020233), we get a palindrome (332350053233).

The spelling of 332020033000 in words is "three hundred thirty-two billion, twenty million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1361 2722 5444 6805 10888 13610 27220 34025 54440 68050 136100 170125 243953 272200 340250 487906 680500 975812 1219765 1361000 1951624 2439530 4879060 6098825 9758120 12197650 24395300 30494125 48790600 60988250 121976500 243953000 332020033 664040066 1328080132 1660100165 2656160264 3320200330 6640400660 8300500825 13280801320 16601001650 33202003300 41502504125 66404006600 83005008250 166010016500 332020033000