Search a number
-
+
2207163168 = 25357234143
BaseRepresentation
bin1000001110001110…
…1010001100100000
312200211011111200000
42003203222030200
514010013210133
61003003100000
7105460402020
oct20343521440
95624144600
102207163168
11a329823a1
12517211600
1329236bc12
1416d1c3a80
15cdb84413
hex838ea320

2207163168 has 576 divisors, whose sum is σ = 8136640512. Its totient is φ = 574801920.

The previous prime is 2207163137. The next prime is 2207163169. The reversal of 2207163168 is 8613617022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2207163169) 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, 51329355 + ... + 51329397.

It is an arithmetic number, because the mean of its divisors is an integer number (14126112).

Almost surely, 22207163168 is an apocalyptic number.

2207163168 is a gapful number since it is divisible by the number (28) 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 2207163168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068320256).

2207163168 is an abundant number, since it is smaller than the sum of its proper divisors (5929477344).

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

2207163168 is a wasteful number, since it uses less digits than its factorization.

2207163168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2207163168 is about 46980.4551702088. The cubic root of 2207163168 is about 1302.0014865451.

The spelling of 2207163168 in words is "two billion, two hundred seven million, one hundred sixty-three thousand, one hundred sixty-eight".