Search a number
-
+
122204340 = 223253759311
BaseRepresentation
bin1110100100010…
…11000010110100
322111221121211200
413102023002310
5222241014330
620043132500
73012501606
oct722130264
9274847750
10122204340
1162a87a25
1234b14130
131c41937b
1412331176
15aadda60
hex748b0b4

122204340 has 144 divisors (see below), whose sum is σ = 388402560. Its totient is φ = 31069440.

The previous prime is 122204339. The next prime is 122204351. The reversal of 122204340 is 43402221.

122204340 is a `hidden beast` number, since 12 + 220 + 434 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392785 + ... + 393095.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 2122204340 is an apocalyptic number.

122204340 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 122204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194201280).

122204340 is an abundant number, since it is smaller than the sum of its proper divisors (266198220).

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

122204340 is a wasteful number, since it uses less digits than its factorization.

122204340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122204340 is about 11054.6071843372. The cubic root of 122204340 is about 496.2443136056.

Adding to 122204340 its reverse (43402221), we get a palindrome (165606561).

The spelling of 122204340 in words is "one hundred twenty-two million, two hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 59 60 74 90 111 118 148 177 180 185 222 236 295 311 333 354 370 444 531 555 590 622 666 708 740 885 933 1062 1110 1180 1244 1332 1555 1665 1770 1866 2124 2183 2220 2655 2799 3110 3330 3540 3732 4366 4665 5310 5598 6220 6549 6660 8732 9330 10620 10915 11196 11507 13098 13995 18349 18660 19647 21830 23014 26196 27990 32745 34521 36698 39294 43660 46028 55047 55980 57535 65490 69042 73396 78588 91745 98235 103563 110094 115070 130980 138084 165141 172605 183490 196470 207126 220188 230140 275235 330282 345210 366980 392940 414252 517815 550470 660564 678913 690420 825705 1035630 1100940 1357826 1651410 2036739 2071260 2715652 3302820 3394565 4073478 6110217 6789130 8146956 10183695 12220434 13578260 20367390 24440868 30551085 40734780 61102170 122204340