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332322220032132 = 22311531631621179779
BaseRepresentation
bin100101110001111101100101…
…1111000000100000010000100
31121120122200201220022210212110
41023203323023320010002010
5322024231401312012012
63134442415330021020
7126666326260564551
oct11343731370040204
91546580656283773
10332322220032132
1196985075649680
1231332333117770
1311357b0a508225
145c0c6a486da28
1528646e48b773c
hex12e3ecbe04084

332322220032132 has 192 divisors, whose sum is σ = 867699028546560. Its totient is φ = 98136351705600.

The previous prime is 332322220032073. The next prime is 332322220032157. The reversal of 332322220032132 is 231230022223233.

It is a super-2 number, since 2×3323222200321322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332322220032132.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1848414219 + ... + 1848593997.

It is an arithmetic number, because the mean of its divisors is an integer number (4519265773680).

Almost surely, 2332322220032132 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 332322220032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433849514273280).

332322220032132 is an abundant number, since it is smaller than the sum of its proper divisors (535376808514428).

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

332322220032132 is a wasteful number, since it uses less digits than its factorization.

332322220032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181634 (or 181632 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 332322220032132 its reverse (231230022223233), we get a palindrome (563552242255365).

The spelling of 332322220032132 in words is "three hundred thirty-two trillion, three hundred twenty-two billion, two hundred twenty million, thirty-two thousand, one hundred thirty-two".