Search a number
-
+
822898331136 = 2934731611499
BaseRepresentation
bin10111111100110001001…
…00000000111000000000
32220200001012101111010000
423332120210000320000
5101440243433044021
61430011223040000
7113311121255640
oct13763044007000
92820035344100
10822898331136
11297a97722902
12113596ba0000
135c7a2c5c53b
142bb8554a520
151661371cb26
hexbf98900e00

822898331136 has 800 divisors, whose sum is σ = 2947025664000. Its totient is φ = 223650201600.

The previous prime is 822898331117. The next prime is 822898331137. The reversal of 822898331136 is 631133898228.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822898331137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 548964115 + ... + 548965613.

It is an arithmetic number, because the mean of its divisors is an integer number (3683782080).

Almost surely, 2822898331136 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 822898331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473512832000).

822898331136 is an abundant number, since it is smaller than the sum of its proper divisors (2124127332864).

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

822898331136 is a wasteful number, since it uses less digits than its factorization.

822898331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1603 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 822898331136 in words is "eight hundred twenty-two billion, eight hundred ninety-eight million, three hundred thirty-one thousand, one hundred thirty-six".