Search a number
-
+
3122223000 = 2335313223359
BaseRepresentation
bin1011101000011001…
…0101011110011000
322001121000100202220
42322012111132120
522343242114000
61233452024040
7140241312651
oct27206253630
98047010686
103122223000
111362460396
12731762020
133a9b09240
14218940528
151341881a0
hexba195798

3122223000 has 256 divisors, whose sum is σ = 10567065600. Its totient is φ = 762969600.

The previous prime is 3122222989. The next prime is 3122223007. The reversal of 3122223000 is 3222213.

3122223000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122223007) 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, 8696821 + ... + 8697179.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 23122223000 is an apocalyptic number.

3122223000 is a gapful number since it is divisible by the number (30) 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 3122223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283532800).

3122223000 is an abundant number, since it is smaller than the sum of its proper divisors (7444842600).

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

3122223000 is a wasteful number, since it uses less digits than its factorization.

3122223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3122223000 is about 55876.8556738834. The cubic root of 3122223000 is about 1461.5756742425.

Adding to 3122223000 its reverse (3222213), we get a palindrome (3125445213).

The spelling of 3122223000 in words is "three billion, one hundred twenty-two million, two hundred twenty-three thousand".