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22412203440 = 24351130727653
BaseRepresentation
bin10100110111110111…
…110001010110110000
32010211221111220021220
4110313313301112300
5331400011002230
614143535145040
71422252404664
oct246767612660
963757456256
1022412203440
119561117190
124415975180
132162377053
1411288008a4
158b2902d10
hex537df15b0

22412203440 has 160 divisors (see below), whose sum is σ = 76043632896. Its totient is φ = 5415367680.

The previous prime is 22412203423. The next prime is 22412203447. The reversal of 22412203440 is 4430221422.

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 22412203440.

It is not an unprimeable number, because it can be changed into a prime (22412203447) 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, 796654 + ... + 824306.

Almost surely, 222412203440 is an apocalyptic number.

22412203440 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 22412203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38021816448).

22412203440 is an abundant number, since it is smaller than the sum of its proper divisors (53631429456).

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

22412203440 is a wasteful number, since it uses less digits than its factorization.

22412203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27987 (or 27981 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22412203440 its reverse (4430221422), we get a palindrome (26842424862).

The spelling of 22412203440 in words is "twenty-two billion, four hundred twelve million, two hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 307 330 440 528 614 660 880 921 1228 1320 1535 1842 2456 2640 3070 3377 3684 4605 4912 6140 6754 7368 9210 10131 12280 13508 14736 16885 18420 20262 24560 27016 27653 33770 36840 40524 50655 54032 55306 67540 73680 81048 82959 101310 110612 135080 138265 162096 165918 202620 221224 270160 276530 304183 331836 405240 414795 442448 553060 608366 663672 810480 829590 912549 1106120 1216732 1327344 1520915 1659180 1825098 2212240 2433464 3041830 3318360 3650196 4562745 4866928 6083660 6636720 7300392 8489471 9125490 12167320 14600784 16978942 18250980 24334640 25468413 33957884 36501960 42447355 50936826 67915768 73003920 84894710 93384181 101873652 127342065 135831536 169789420 186768362 203747304 254684130 280152543 339578840 373536724 407494608 466920905 509368260 560305086 679157680 747073448 933841810 1018736520 1120610172 1400762715 1494146896 1867683620 2037473040 2241220344 2801525430 3735367240 4482440688 5603050860 7470734480 11206101720 22412203440