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332223130000 = 24542910331109
BaseRepresentation
bin1001101010110100000…
…10101010100110010000
31011202112012102122011101
410311122002222212100
520420343110130000
6412342102354144
733000541003636
oct4653202524620
91152465378141
10332223130000
11118993328853
1254478a2b954
1325436963338
1412118929356
158996572e6a
hex4d5a0aa990

332223130000 has 200 divisors, whose sum is σ = 833637994200. Its totient is φ = 128067072000.

The previous prime is 332223129941. The next prime is 332223130007. The reversal of 332223130000 is 31322233.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 329457632256 + 2765497744 = 573984^2 + 52588^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×3322231300002 (a number of 24 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 332223130000.

It is not an unprimeable number, because it can be changed into a prime (332223130007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 299569446 + ... + 299570554.

It is an arithmetic number, because the mean of its divisors is an integer number (4168189971).

Almost surely, 2332223130000 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 332223130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416818997100).

332223130000 is an abundant number, since it is smaller than the sum of its proper divisors (501414864200).

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

332223130000 is a wasteful number, since it uses less digits than its factorization.

332223130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2178 counting only the distinct ones).

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

Adding to 332223130000 its reverse (31322233), we get a palindrome (332254452233).

The spelling of 332223130000 in words is "three hundred thirty-two billion, two hundred twenty-three million, one hundred thirty thousand".