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22422442000 = 245376612423
BaseRepresentation
bin10100111000011110…
…110101000000010000
32010212122210001221211
4110320132311000100
5331410121121000
614144542425504
71422435420010
oct247036650020
963778701854
1022422442000
11956697a602
124419292294
13216452037a
141129d07c40
158b37767ba
hex5387b5010

22422442000 has 160 divisors (see below), whose sum is σ = 62082169344. Its totient is φ = 7672896000.

The previous prime is 22422441997. The next prime is 22422442027. The reversal of 22422442000 is 24422422.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9252789 + ... + 9255211.

Almost surely, 222422442000 is an apocalyptic number.

22422442000 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 22422442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31041084672).

22422442000 is an abundant number, since it is smaller than the sum of its proper divisors (39659727344).

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

22422442000 is a wasteful number, since it uses less digits than its factorization.

22422442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22422442000 its reverse (24422422), we get a palindrome (22446864422).

The spelling of 22422442000 in words is "twenty-two billion, four hundred twenty-two million, four hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 661 700 875 1000 1322 1400 1750 2000 2423 2644 2800 3305 3500 4627 4846 5288 6610 7000 9254 9692 10576 12115 13220 14000 16525 16961 18508 19384 23135 24230 26440 33050 33922 37016 38768 46270 48460 52880 60575 66100 67844 74032 82625 84805 92540 96920 115675 121150 132200 135688 165250 169610 185080 193840 231350 242300 264400 271376 302875 330500 339220 370160 424025 462700 484600 578375 605750 661000 678440 848050 925400 969200 1156750 1211500 1322000 1356880 1601603 1696100 1850800 2120125 2313500 2423000 3203206 3392200 4240250 4627000 4846000 6406412 6784400 8008015 8480500 9254000 11211221 12812824 16016030 16961000 22422442 25625648 32032060 33922000 40040075 44844884 56056105 64064120 80080150 89689768 112112210 128128240 160160300 179379536 200200375 224224420 280280525 320320600 400400750 448448840 560561050 640641200 800801500 896897680 1121122100 1401402625 1601603000 2242244200 2802805250 3203206000 4484488400 5605610500 11211221000 22422442000