Search a number
-
+
821803802232 = 233723155740471
BaseRepresentation
bin10111111010101110101…
…00101101111001111000
32220120012220211122201110
423331113110231321320
5101431023233132412
61425310443320320
7113242031030400
oct13752724557170
92816186748643
10821803802232
11297585905066
121133305200a0
135c65a275bba
142bac0033800
151659c5b7d3c
hexbf5752de78

821803802232 has 192 divisors, whose sum is σ = 2471524669440. Its totient is φ = 226813305600.

The previous prime is 821803802213. The next prime is 821803802249. The reversal of 821803802232 is 232208308128.

It is a super-2 number, since 2×8218038022322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20285757 + ... + 20326227.

It is an arithmetic number, because the mean of its divisors is an integer number (12872524320).

Almost surely, 2821803802232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821803802232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235762334720).

821803802232 is an abundant number, since it is smaller than the sum of its proper divisors (1649720867208).

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

821803802232 is a wasteful number, since it uses less digits than its factorization.

821803802232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41082 (or 41071 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 821803802232 in words is "eight hundred twenty-one billion, eight hundred three million, eight hundred two thousand, two hundred thirty-two".