Search a number
-
+
233122210230000 = 24354713179295407
BaseRepresentation
bin110101000000010111111110…
…100001111010111011110000
31010120102021011122201000120110
4311000113332201322323300
5221023433241304330000
62143450510453341320
7100050344456050560
oct6500277641727360
91116367148630513
10233122210230000
1168309635211763
1222190790637840
13a01043a2b9190
14417d264990da0
151be409c600850
hexd405fe87aef0

233122210230000 has 1600 divisors, whose sum is σ = 981935312117760. Its totient is φ = 46234533888000.

The previous prime is 233122210229933. The next prime is 233122210230043. The reversal of 233122210230000 is 32012221332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 43114887297 + ... + 43114892703.

Almost surely, 2233122210230000 is an apocalyptic number.

233122210230000 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 233122210230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490967656058880).

233122210230000 is an abundant number, since it is smaller than the sum of its proper divisors (748813101887760).

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

233122210230000 is a wasteful number, since it uses less digits than its factorization.

233122210230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 233122210230000 its reverse (32012221332), we get a palindrome (233154222451332).

The spelling of 233122210230000 in words is "two hundred thirty-three trillion, one hundred twenty-two billion, two hundred ten million, two hundred thirty thousand".