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211422231240 = 233511172392959
BaseRepresentation
bin1100010011100110111…
…1110011101011001000
3202012201101020011002220
43010321233303223020
511430443042344430
6241043120054040
721163145212503
oct3047157635310
9665641204086
10211422231240
1181733379630
1234b84a64320
1316c2486cc9c
14a3390a213a
155776119110
hex3139bf3ac8

211422231240 has 128 divisors (see below), whose sum is σ = 692336332800. Its totient is φ = 51223576320.

The previous prime is 211422231227. The next prime is 211422231247. The reversal of 211422231240 is 42132224112.

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 211422231240.

It is not an unprimeable number, because it can be changed into a prime (211422231247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2227881 + ... + 2320839.

It is an arithmetic number, because the mean of its divisors is an integer number (5408877600).

Almost surely, 2211422231240 is an apocalyptic number.

211422231240 is a gapful number since it is divisible by the number (20) 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 211422231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346168166400).

211422231240 is an abundant number, since it is smaller than the sum of its proper divisors (480914101560).

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

211422231240 is a wasteful number, since it uses less digits than its factorization.

211422231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94707 (or 94703 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211422231240 its reverse (42132224112), we get a palindrome (253554455352).

The spelling of 211422231240 in words is "two hundred eleven billion, four hundred twenty-two million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1723 3446 5169 6892 8615 10338 13784 17230 18953 20676 25845 34460 37906 41352 51690 56859 68920 75812 92959 94765 103380 113718 151624 185918 189530 206760 227436 278877 284295 371836 379060 454872 464795 557754 568590 743672 758120 929590 1022549 1115508 1137180 1394385 1859180 2045098 2231016 2274360 2788770 3067647 3718360 4090196 5112745 5577540 6135294 8180392 10225490 11155080 12270588 15338235 20450980 24541176 30676470 40901960 61352940 122705880 160168357 320336714 480505071 640673428 800841785 961010142 1281346856 1601683570 1761851927 1922020284 2402525355 3203367140 3523703854 3844040568 4805050710 5285555781 6406734280 7047407708 8809259635 9610101420 10571111562 14094815416 17618519270 19220202840 21142223124 26427778905 35237038540 42284446248 52855557810 70474077080 105711115620 211422231240