Search a number
-
+
2323120221000 = 2332532337535997
BaseRepresentation
bin100001110011100100110…
…000010110101101001000
322020002101020112210111200
4201303210300112231020
5301030222234033000
64535120544424200
7326561041031505
oct41634460265510
98202336483450
102323120221000
1181625888a347
123162a0318060
1313b0b9325807
14806224564ac
154066a2e7500
hex21ce4c16b48

2323120221000 has 1536 divisors, whose sum is σ = 8808970060800. Its totient is φ = 550350028800.

The previous prime is 2323120220987. The next prime is 2323120221001. The reversal of 2323120221000 is 1220213232.

2323120221000 is a `hidden beast` number, since 2 + 323 + 120 + 221 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×23231202210002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2323120221001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23949692952 + ... + 23949693048.

It is an arithmetic number, because the mean of its divisors is an integer number (5735006550).

Almost surely, 22323120221000 is an apocalyptic number.

2323120221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323120221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404485030400).

2323120221000 is an abundant number, since it is smaller than the sum of its proper divisors (6485849839800).

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

2323120221000 is a wasteful number, since it uses less digits than its factorization.

2323120221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2323120221000 its reverse (1220213232), we get a palindrome (2324340434232).

The spelling of 2323120221000 in words is "two trillion, three hundred twenty-three billion, one hundred twenty million, two hundred twenty-one thousand".