Search a number
-
+
122323768 = 2373122273
BaseRepresentation
bin1110100101010…
…00001100111000
322112011200122221
413102220030320
5222303330033
620045453424
73013510030
oct722501470
9275150587
10122323768
1163059726
1234b71274
131c45b838
14123628c0
15ab1412d
hex74a8338

122323768 has 48 divisors (see below), whose sum is σ = 270969840. Its totient is φ = 50711040.

The previous prime is 122323723. The next prime is 122323771. The reversal of 122323768 is 867323221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52680 + ... + 54952.

It is an arithmetic number, because the mean of its divisors is an integer number (5645205).

Almost surely, 2122323768 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 122323768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135484920).

122323768 is an abundant number, since it is smaller than the sum of its proper divisors (148646072).

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

122323768 is a wasteful number, since it uses less digits than its factorization.

122323768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2313 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 122323768 is about 11060.0075949341. The cubic root of 122323768 is about 496.4059177134.

Adding to 122323768 its reverse (867323221), we get a palindrome (989646989).

The spelling of 122323768 in words is "one hundred twenty-two million, three hundred twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 961 1736 1922 2273 3844 4546 6727 7688 9092 13454 15911 18184 26908 31822 53816 63644 70463 127288 140926 281852 493241 563704 986482 1972964 2184353 3945928 4368706 8737412 15290471 17474824 30580942 61161884 122323768