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122204144 = 24291032557
BaseRepresentation
bin1110100100010…
…10111111110000
322111221121120102
413102022333300
5222241013034
620043131532
73012501206
oct722127760
9274847512
10122204144
1162a87867
1234b13ba8
131c41925a
1412331076
15aadd97e
hex748aff0

122204144 has 40 divisors (see below), whose sum is σ = 247409760. Its totient is φ = 58399488.

The previous prime is 122204123. The next prime is 122204153. The reversal of 122204144 is 441402221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46514 + ... + 49070.

It is an arithmetic number, because the mean of its divisors is an integer number (6185244).

Almost surely, 2122204144 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 122204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123704880).

122204144 is an abundant number, since it is smaller than the sum of its proper divisors (125205616).

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

122204144 is a wasteful number, since it uses less digits than its factorization.

122204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 122204144 is about 11054.5983192516. The cubic root of 122204144 is about 496.2440483015.

Adding to 122204144 its reverse (441402221), we get a palindrome (563606365).

The spelling of 122204144 in words is "one hundred twenty-two million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 103 116 206 232 412 464 824 1648 2557 2987 5114 5974 10228 11948 20456 23896 40912 47792 74153 148306 263371 296612 526742 593224 1053484 1186448 2106968 4213936 7637759 15275518 30551036 61102072 122204144