Search a number
-
+
3223021313304 = 2334132329836911
BaseRepresentation
bin101110111001101011000…
…010100101110100011000
3102102010011220012211220000
4232321223002211310120
5410301221424011204
610504345140133000
7451566321066432
oct56715302456430
912363156184800
103223021313304
11103296a564341
12440787397160
131a4c11461350
14b1dd0653652
1558c88cd8039
hex2ee6b0a5d18

3223021313304 has 640 divisors, whose sum is σ = 10622339481600. Its totient is φ = 904706288640.

The previous prime is 3223021313293. The next prime is 3223021313311. The reversal of 3223021313304 is 4033131203223.

3223021313304 is a `hidden beast` number, since 3 + 2 + 23 + 0 + 21 + 313 + 304 = 666.

3223021313304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 466357609 + ... + 466364519.

It is an arithmetic number, because the mean of its divisors is an integer number (16597405440).

Almost surely, 23223021313304 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 3223021313304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311169740800).

3223021313304 is an abundant number, since it is smaller than the sum of its proper divisors (7399318168296).

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

3223021313304 is a wasteful number, since it uses less digits than its factorization.

3223021313304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3223021313304 its reverse (4033131203223), we get a palindrome (7256152516527).

The spelling of 3223021313304 in words is "three trillion, two hundred twenty-three billion, twenty-one million, three hundred thirteen thousand, three hundred four".