Search a number
-
+
822990168 = 23327111319601
BaseRepresentation
bin110001000011011…
…101010101011000
32010100121020021100
4301003131111120
53141141141133
6213355311400
726252205150
oct6103352530
92110536240
10822990168
11392613770
121ab74b560
13101672340
147b431760
154c3b8e13
hex310dd558

822990168 has 384 divisors, whose sum is σ = 3155443200. Its totient is φ = 186624000.

The previous prime is 822990151. The next prime is 822990169. The reversal of 822990168 is 861099228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822990169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1369068 + ... + 1369668.

It is an arithmetic number, because the mean of its divisors is an integer number (8217300).

Almost surely, 2822990168 is an apocalyptic number.

822990168 is a gapful number since it is divisible by the number (88) 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 822990168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577721600).

822990168 is an abundant number, since it is smaller than the sum of its proper divisors (2332453032).

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

822990168 is a wasteful number, since it uses less digits than its factorization.

822990168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 822990168 is about 28687.8052140626. The cubic root of 822990168 is about 937.1264927049.

The spelling of 822990168 in words is "eight hundred twenty-two million, nine hundred ninety thousand, one hundred sixty-eight".