Search a number
-
+
2323489228200 = 2334527531073613
BaseRepresentation
bin100001110011111010110…
…000000000010110101000
322020010022221220022020000
4201303322300000112220
5301032001220300300
64535221325503000
7326603141401320
oct41637260002650
98203287808200
102323489228200
11816428106978
12316383a11a60
1313b14790527a
1480659470280
154068c8d7c00
hex21cfac005a8

2323489228200 has 960 divisors, whose sum is σ = 9487110821760. Its totient is φ = 516050196480.

The previous prime is 2323489228153. The next prime is 2323489228267. The reversal of 2323489228200 is 28229843232.

It is a happy number.

2323489228200 is a `hidden beast` number, since 2 + 323 + 4 + 89 + 228 + 20 + 0 = 666.

It is a super-2 number, since 2×23234892282002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 643089594 + ... + 643093206.

It is an arithmetic number, because the mean of its divisors is an integer number (9882407106).

Almost surely, 22323489228200 is an apocalyptic number.

2323489228200 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 2323489228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743555410880).

2323489228200 is an abundant number, since it is smaller than the sum of its proper divisors (7163621593560).

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

2323489228200 is a wasteful number, since it uses less digits than its factorization.

2323489228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2323489228200 in words is "two trillion, three hundred twenty-three billion, four hundred eighty-nine million, two hundred twenty-eight thousand, two hundred".