Search a number
-
+
122255424 = 26321911171
BaseRepresentation
bin1110100100101…
…11100001000000
322112001012220200
413102113201000
5222244133144
620044205200
73013103544
oct722274100
9275035820
10122255424
1163012345
1234b39800
131c4366b5
1412345a24
15aaedc69
hex7497840

122255424 has 84 divisors (see below), whose sum is σ = 368899440. Its totient is φ = 38603520.

The previous prime is 122255383. The next prime is 122255447. The reversal of 122255424 is 424552221.

122255424 is a `hidden beast` number, since 12 + 225 + 5 + 424 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5359 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (4391660).

Almost surely, 2122255424 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 122255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184449720).

122255424 is an abundant number, since it is smaller than the sum of its proper divisors (246644016).

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

122255424 is a wasteful number, since it uses less digits than its factorization.

122255424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208 (or 11195 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 122255424 is about 11056.9174727860. The cubic root of 122255424 is about 496.3134508475.

The spelling of 122255424 in words is "one hundred twenty-two million, two hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 11171 22342 33513 44684 67026 89368 100539 134052 178736 201078 212249 268104 357472 402156 424498 536208 636747 714944 804312 848996 1072416 1273494 1608624 1697992 1910241 2144832 2546988 3217248 3395984 3820482 5093976 6434496 6791968 7640964 10187952 13583936 15281928 20375904 30563856 40751808 61127712 122255424