Search a number
-
+
3122280 = 233357259
BaseRepresentation
bin1011111010010001101000
312212121222000
423322101220
51244403110
6150531000
735352600
oct13722150
95777860
103122280
1118428a7
121066a60
13854205
145b3c00
1541a1c0
hex2fa468

3122280 has 192 divisors, whose sum is σ = 12312000. Its totient is φ = 701568.

The previous prime is 3122279. The next prime is 3122281. The reversal of 3122280 is 822213.

It is a happy number.

3122280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3122279) and next prime (3122281).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52891 + ... + 52949.

It is an arithmetic number, because the mean of its divisors is an integer number (64125).

Almost surely, 23122280 is an apocalyptic number.

3122280 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 3122280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156000).

3122280 is an abundant number, since it is smaller than the sum of its proper divisors (9189720).

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

3122280 is a wasteful number, since it uses less digits than its factorization.

3122280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3122280 is about 1766.9974533089. The cubic root of 3122280 is about 146.1584568472.

Adding to 3122280 its reverse (822213), we get a palindrome (3944493).

The spelling of 3122280 in words is "three million, one hundred twenty-two thousand, two hundred eighty".