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22051002000 = 243534385469
BaseRepresentation
bin10100100010010101…
…111001011010010000
32002220202211222001210
4110202111321122100
5330130024031000
614044033300120
71410305265366
oct244225713220
962822758053
1022051002000
1193962411a5
124334a04640
13210559b4a1
1410d2859636
15890d55350
hex522579690

22051002000 has 160 divisors (see below), whose sum is σ = 72746593920. Its totient is φ = 5743449600.

The previous prime is 22051001993. The next prime is 22051002019. The reversal of 22051002000 is 20015022.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 215266 + ... + 300734.

It is an arithmetic number, because the mean of its divisors is an integer number (454666212).

Almost surely, 222051002000 is an apocalyptic number.

22051002000 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 22051002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36373296960).

22051002000 is an abundant number, since it is smaller than the sum of its proper divisors (50695591920).

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

22051002000 is a wasteful number, since it uses less digits than its factorization.

22051002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85538 (or 85522 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 22051002000 its reverse (20015022), we get a palindrome (22071017022).

The spelling of 22051002000 in words is "twenty-two billion, fifty-one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8600 10320 10750 12900 16125 17200 21500 25800 32250 43000 51600 64500 85469 86000 129000 170938 256407 258000 341876 427345 512814 683752 854690 1025628 1282035 1367504 1709380 2051256 2136725 2564070 3418760 3675167 4102512 4273450 5128140 6410175 6837520 7350334 8546900 10256280 10683625 11025501 12820350 14700668 17093800 18375835 20512560 21367250 22051002 25640700 29401336 32050875 34187600 36751670 42734500 44102004 51281400 55127505 58802672 64101750 73503340 85469000 88204008 91879175 102562800 110255010 128203500 147006680 170938000 176408016 183758350 220510020 256407000 275637525 294013360 367516700 441020040 459395875 512814000 551275050 735033400 882040080 918791750 1102550100 1378187625 1470066800 1837583500 2205100200 2756375250 3675167000 4410200400 5512750500 7350334000 11025501000 22051002000