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22414104240 = 24351117499423
BaseRepresentation
bin10100110111111111…
…000001011010110000
32010212002002110200220
4110313333001122300
5331401002313430
614144044013040
71422304512453
oct246777013260
963762073626
1022414104240
1195621a52a0
124416531180
132162891298
141128b7749a
158b2b7b110
hex537fc16b0

22414104240 has 160 divisors (see below), whose sum is σ = 80259434496. Its totient is φ = 5114081280.

The previous prime is 22414104227. The next prime is 22414104241. The reversal of 22414104240 is 4240141422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22414104240.

It is not an unprimeable number, because it can be changed into a prime (22414104241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204832 + ... + 294591.

Almost surely, 222414104240 is an apocalyptic number.

22414104240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414104240 is an abundant number, since it is smaller than the sum of its proper divisors (57845330256).

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

22414104240 is a wasteful number, since it uses less digits than its factorization.

22414104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499467 (or 499461 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22414104240 its reverse (4240141422), we get a palindrome (26654245662).

The spelling of 22414104240 in words is "twenty-two billion, four hundred fourteen million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2992 3740 4080 4488 5610 7480 8976 11220 14960 22440 44880 499423 998846 1498269 1997692 2497115 2996538 3995384 4994230 5493653 5993076 7491345 7990768 8490191 9988460 10987306 11986152 14982690 16480959 16980382 19976920 21974612 23972304 25470573 27468265 29965380 32961918 33960764 39953840 42450955 43949224 50941146 54936530 59930760 65923836 67921528 82404795 84901910 87898448 93392101 101882292 109873060 119861520 127352865 131847672 135843056 164809590 169803820 186784202 203764584 219746120 254705730 263695344 280176303 329619180 339607640 373568404 407529168 439492240 466960505 509411460 560352606 659238360 679215280 747136808 933921010 1018822920 1120705212 1318476720 1400881515 1494273616 1867842020 2037645840 2241410424 2801763030 3735684040 4482820848 5603526060 7471368080 11207052120 22414104240