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332120233000 = 23531327250279
BaseRepresentation
bin1001101010100111110…
…10001001010000101000
31011202021000210221000101
410311103322021100220
520420140234424000
6412323545115144
732665151254453
oct4652372112050
91152230727011
10332120233000
11118940238806
125444a488ab4
132541b54703a
1412108dc249a
15898c4e9e6a
hex4d53e89428

332120233000 has 64 divisors (see below), whose sum is σ = 777750105600. Its totient is φ = 132747451200.

The previous prime is 332120232911. The next prime is 332120233051. The reversal of 332120233000 is 332021233.

It is a happy number.

It is a super-2 number, since 2×3321202330002 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201861 + ... + 1452139.

It is an arithmetic number, because the mean of its divisors is an integer number (12152345400).

Almost surely, 2332120233000 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 332120233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388875052800).

332120233000 is an abundant number, since it is smaller than the sum of its proper divisors (445629872600).

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

332120233000 is a wasteful number, since it uses less digits than its factorization.

332120233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251627 (or 251613 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 332120233000 its reverse (332021233), we get a palindrome (332452254233).

The spelling of 332120233000 in words is "three hundred thirty-two billion, one hundred twenty million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1327 2654 5308 6635 10616 13270 26540 33175 53080 66350 132700 165875 250279 265400 331750 500558 663500 1001116 1251395 1327000 2002232 2502790 5005580 6256975 10011160 12513950 25027900 31284875 50055800 62569750 125139500 250279000 332120233 664240466 1328480932 1660601165 2656961864 3321202330 6642404660 8303005825 13284809320 16606011650 33212023300 41515029125 66424046600 83030058250 166060116500 332120233000