Search a number
-
+
3122000000 = 27567223
BaseRepresentation
bin1011101000010101…
…1111000010000000
322001120121000212122
42322011133002000
522343213000000
61233443143412
7140236363550
oct27205370200
98046530778
103122000000
111362318899
12731674b68
133a9a5b8a2
142188c3160
15134142085
hexba15f080

3122000000 has 224 divisors, whose sum is σ = 8924885760. Its totient is φ = 1065600000.

The previous prime is 3121999961. The next prime is 3122000009. The reversal of 3122000000 is 2213.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13999889 + ... + 14000111.

It is an arithmetic number, because the mean of its divisors is an integer number (39843240).

Almost surely, 23122000000 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 3122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462442880).

3122000000 is an abundant number, since it is smaller than the sum of its proper divisors (5802885760).

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

3122000000 is an frugal number, since it uses more digits than its factorization.

3122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3122000000 is about 55874.8601787960. The cubic root of 3122000000 is about 1461.5408764787.

Adding to 3122000000 its reverse (2213), we get a palindrome (3122002213).

The spelling of 3122000000 in words is "three billion, one hundred twenty-two million", and thus it is an aban number.