Search a number
-
+
223032120342400 = 27521931311719781
BaseRepresentation
bin110010101101100010110110…
…010011100111011110000000
31002020200122212221110022000101
4302231202312103213132000
5213213124240301424100
62110203312553332144
764656352600112605
oct6255426623473600
91066618787408011
10223032120342400
1165079433552786
1221021151a07054
13975aab9828975
143d10b52a466ac
151abb89d4c786a
hexcad8b64e7780

223032120342400 has 192 divisors, whose sum is σ = 581809825738800. Its totient is φ = 84247404134400.

The previous prime is 223032120342331. The next prime is 223032120342463. The reversal of 223032120342400 is 4243021230322.

223032120342400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13170510 + ... + 24890290.

Almost surely, 2223032120342400 is an apocalyptic number.

223032120342400 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 223032120342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290904912869400).

223032120342400 is an abundant number, since it is smaller than the sum of its proper divisors (358777705396400).

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

223032120342400 is a wasteful number, since it uses less digits than its factorization.

223032120342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11720137 (or 11720120 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 223032120342400 its reverse (4243021230322), we get a palindrome (227275141572722).

The spelling of 223032120342400 in words is "two hundred twenty-three trillion, thirty-two billion, one hundred twenty million, three hundred forty-two thousand, four hundred".