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122198648 = 231113223479
BaseRepresentation
bin1110100100010…
…01101001111000
322111221100000212
413102021221320
5222240324043
620043050252
73012446165
oct722115170
9274840025
10122198648
1162a83720
1234b10988
131c4168c0
141232d06c
15aadc018
hex7489a78

122198648 has 64 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 50935680.

The previous prime is 122198639. The next prime is 122198689. The reversal of 122198648 is 846891221.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 254873 + ... + 255351.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2122198648 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 122198648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

122198648 is an abundant number, since it is smaller than the sum of its proper divisors (148751752).

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

122198648 is a wasteful number, since it uses less digits than its factorization.

122198648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 122198648 is about 11054.3497321190. The cubic root of 122198648 is about 496.2366088424.

The spelling of 122198648 in words is "one hundred twenty-two million, one hundred ninety-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 223 286 446 479 572 892 958 1144 1784 1916 2453 2899 3832 4906 5269 5798 6227 9812 10538 11596 12454 19624 21076 23192 24908 31889 42152 49816 63778 68497 106817 127556 136994 213634 255112 273988 427268 547976 854536 1174987 1388621 2349974 2777242 4699948 5554484 9399896 11108968 15274831 30549662 61099324 122198648