Search a number
-
+
2132220225324 = 22372232943126433
BaseRepresentation
bin11111000001110010001…
…110101010011100101100
321112211122002112020011110
4133001302032222130230
5234413241334202244
64311310051152020
7310022255606400
oct37016216523454
97484562466143
102132220225324
117522a6804082
122a52a42a5610
131260b53cc3a7
14752b2b7d100
153a6e5c059b9
hex1f0723aa72c

2132220225324 has 288 divisors, whose sum is σ = 6392664875520. Its totient is φ = 549536182272.

The previous prime is 2132220225323. The next prime is 2132220225341. The reversal of 2132220225324 is 4235220222312.

It is a junction number, because it is equal to n+sod(n) for n = 2132220225291 and 2132220225300.

It is not an unprimeable number, because it can be changed into a prime (2132220225323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16801212 + ... + 16927644.

It is an arithmetic number, because the mean of its divisors is an integer number (22196753040).

Almost surely, 22132220225324 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 2132220225324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196332437760).

2132220225324 is an abundant number, since it is smaller than the sum of its proper divisors (4260444650196).

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

2132220225324 is a wasteful number, since it uses less digits than its factorization.

2132220225324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126549 (or 126540 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 2132220225324 its reverse (4235220222312), we get a palindrome (6367440447636).

The spelling of 2132220225324 in words is "two trillion, one hundred thirty-two billion, two hundred twenty million, two hundred twenty-five thousand, three hundred twenty-four".