Search a number
-
+
3223322013000 = 23353191392571583
BaseRepresentation
bin101110111001111100111…
…101101010110101001000
3102102010221212000222022210
4232321330331222311020
5410302330413404000
610504435041145120
7451606632022065
oct56717475526510
912363855028283
103223322013000
111033004276491
1244085002b1a0
131a4c5b84576b
14b201c569c6c
1558ca53d4350
hex2ee7cf6ad48

3223322013000 has 512 divisors, whose sum is σ = 10710475776000. Its totient is φ = 804800102400.

The previous prime is 3223322012987. The next prime is 3223322013007. The reversal of 3223322013000 is 3102233223.

It is not an unprimeable number, because it can be changed into a prime (3223322013007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2036210209 + ... + 2036211791.

It is an arithmetic number, because the mean of its divisors is an integer number (20918898000).

Almost surely, 23223322013000 is an apocalyptic number.

3223322013000 is a gapful number since it is divisible by the number (30) 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 3223322013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355237888000).

3223322013000 is an abundant number, since it is smaller than the sum of its proper divisors (7487153763000).

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

3223322013000 is a wasteful number, since it uses less digits than its factorization.

3223322013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 3223322013000 its reverse (3102233223), we get a palindrome (3226424246223).

It can be divided in two parts, 322332 and 2013000, that added together give a palindrome (2335332).

The spelling of 3223322013000 in words is "three trillion, two hundred twenty-three billion, three hundred twenty-two million, thirteen thousand".