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122208660 = 223257234217
BaseRepresentation
bin1110100100011…
…00000110010100
322111221211202200
413102030012110
5222241134120
620043204500
73012520320
oct722140624
9274854680
10122208660
1162a901a2
1234b16730
131c41b322
1412332980
15aadee90
hex748c194

122208660 has 144 divisors (see below), whose sum is σ = 442181376. Its totient is φ = 26712576.

The previous prime is 122208649. The next prime is 122208719. The reversal of 122208660 is 66802221.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 26872 + ... + 31088.

It is an arithmetic number, because the mean of its divisors is an integer number (3070704).

Almost surely, 2122208660 is an apocalyptic number.

122208660 is a gapful number since it is divisible by the number (10) 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 122208660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221090688).

122208660 is an abundant number, since it is smaller than the sum of its proper divisors (319972716).

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

122208660 is a wasteful number, since it uses less digits than its factorization.

122208660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 122208660 is about 11054.8025762562. The cubic root of 122208660 is about 496.2501610525.

The spelling of 122208660 in words is "one hundred twenty-two million, two hundred eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4217 4830 5796 7245 8434 9660 12651 14490 16868 21085 25302 28980 29519 37953 42170 50604 59038 63255 75906 84340 88557 96991 118076 126510 147595 151812 177114 189765 193982 253020 265671 290973 295190 354228 379530 387964 442785 484955 531342 581946 590380 678937 759060 872919 885570 969910 1062684 1163892 1328355 1357874 1454865 1745838 1771140 1939820 2036811 2656710 2715748 2909730 3394685 3491676 4073622 4364595 5313420 5819460 6110433 6789370 8147244 8729190 10184055 12220866 13578740 17458380 20368110 24441732 30552165 40736220 61104330 122208660