Search a number
-
+
2222714880 = 21232531389
BaseRepresentation
bin1000010001111011…
…1111000000000000
312201220102121121100
42010132333000000
514023003334010
61004320254400
7106036523211
oct20436770000
95656377540
102222714880
11a40734651
12520471400
13295655709
141712b1408
15d02072c0
hex847bf000

2222714880 has 312 divisors, whose sum is σ = 7973447040. Its totient is φ = 572129280.

The previous prime is 2222714873. The next prime is 2222714881. The reversal of 2222714880 is 884172222.

It is a super-2 number, since 2×22227148802 = 9880922875546828800, which contains 22 as substring.

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 (2222714881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713726 + ... + 5714114.

It is an arithmetic number, because the mean of its divisors is an integer number (25555920).

Almost surely, 22222714880 is an apocalyptic number.

2222714880 is a gapful number since it is divisible by the number (20) 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 2222714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986723520).

2222714880 is an abundant number, since it is smaller than the sum of its proper divisors (5750732160).

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

2222714880 is a wasteful number, since it uses less digits than its factorization.

2222714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2222714880 is about 47145.6772143534. The cubic root of 2222714880 is about 1305.0523077637.

The spelling of 2222714880 in words is "two billion, two hundred twenty-two million, seven hundred fourteen thousand, eight hundred eighty".