Search a number
-
+
3122242032 = 24371317192213
BaseRepresentation
bin1011101000011001…
…1010000111110000
322001121001022212210
42322012122013300
522343243221112
61233452252120
7140241422310
oct27206320760
98047038783
103122242032
111362473718
12731771040
133a9b14ac0
14218947440
1513418db3c
hexba19a1f0

3122242032 has 320 divisors, whose sum is σ = 11069291520. Its totient is φ = 733888512.

The previous prime is 3122241989. The next prime is 3122242037. The reversal of 3122242032 is 2302422213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122242037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1409758 + ... + 1411970.

It is an arithmetic number, because the mean of its divisors is an integer number (34591536).

Almost surely, 23122242032 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 3122242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534645760).

3122242032 is an abundant number, since it is smaller than the sum of its proper divisors (7947049488).

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

3122242032 is a wasteful number, since it uses less digits than its factorization.

3122242032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3122242032 is about 55877.0259766928. The cubic root of 3122242032 is about 1461.5786439911.

Adding to 3122242032 its reverse (2302422213), we get a palindrome (5424664245).

The spelling of 3122242032 in words is "three billion, one hundred twenty-two million, two hundred forty-two thousand, thirty-two".