Search a number
-
+
232311020220000 = 2533542367279173
BaseRepresentation
bin110100110100100100011111…
…110101100110111001100000
31010110112201100102120212122000
4310310210133311212321200
5220422140432134020000
62142030113120244000
766634626434533641
oct6464443765467140
91113481312525560
10232311020220000
116802660663a917
122207b522770600
139c81ab1c48017
144151cb04176c8
151bcce21c3a000
hexd3491fd66e60

232311020220000 has 960 divisors, whose sum is σ = 896699026460160. Its totient is φ = 58371515136000.

The previous prime is 232311020219987. The next prime is 232311020220029. The reversal of 232311020220000 is 22020113232.

232311020220000 is a `hidden beast` number, since 23 + 231 + 10 + 202 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 832000414 + ... + 832279586.

It is an arithmetic number, because the mean of its divisors is an integer number (934061485896).

Almost surely, 2232311020220000 is an apocalyptic number.

232311020220000 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 232311020220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448349513230080).

232311020220000 is an abundant number, since it is smaller than the sum of its proper divisors (664388006240160).

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

232311020220000 is a wasteful number, since it uses less digits than its factorization.

232311020220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279302 (or 279273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232311020220000 its reverse (22020113232), we get a palindrome (232333040333232).

The spelling of 232311020220000 in words is "two hundred thirty-two trillion, three hundred eleven billion, twenty million, two hundred twenty thousand".