Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
2222131968 = 2831172
BaseRepresentation
bin1000010001110011…
…0000101100000000
312201212100000000000
42010130300230000
514022331210333
61004300000000
7106031544600
oct20434605400
95655300000
102222131968
11a40376701
12520230000
132954b02b4
1417119cc00
15d013e713
hex84730b00

2222131968 has 324 divisors, whose sum is σ = 7739626440. Its totient is φ = 634894848.

The previous prime is 2222131939. The next prime is 2222131997. The reversal of 2222131968 is 8691312222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2222131939) and next prime (2222131997).

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (20736) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317447421 + ... + 317447427.

Almost surely, 22222131968 is an apocalyptic number.

2222131968 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 2222131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869813220).

2222131968 is an abundant number, since it is smaller than the sum of its proper divisors (5517494472).

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

2222131968 is an frugal number, since it uses more digits than its factorization.

2222131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 12 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2222131968 is about 47139.4947787946. The cubic root of 2222131968 is about 1304.9382134837.

The spelling of 2222131968 in words is "two billion, two hundred twenty-two million, one hundred thirty-one thousand, nine hundred sixty-eight".