Search a number
-
+
322401000000 = 26356107467
BaseRepresentation
bin1001011000100001001…
…10001101101001000000
31010211011200100201210210
410230100212031221000
520240234124000000
6404035312154120
732202253166262
oct4542046155100
91124150321723
10322401000000
11114802a61142
1252597538940
132452ca823b1
1411866267b32
1585be0ec350
hex4b1098da40

322401000000 has 196 divisors, whose sum is σ = 1066270414064. Its totient is φ = 85972800000.

The previous prime is 322400999983. The next prime is 322401000013. The reversal of 322401000000 is 104223.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 322401000000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2946267 + ... + 3053733.

Almost surely, 2322401000000 is an apocalyptic number.

322401000000 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 322401000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533135207032).

322401000000 is an abundant number, since it is smaller than the sum of its proper divisors (743869414064).

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

322401000000 is an frugal number, since it uses more digits than its factorization.

322401000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107512 (or 107477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 322401000000 its reverse (104223), we get a palindrome (322401104223).

The spelling of 322401000000 in words is "three hundred twenty-two billion, four hundred one million", and thus it is an aban number.