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22155240000 = 26354184627
BaseRepresentation
bin10100101000100011…
…100010001001000000
32010012000222210201110
4110220203202021000
5330333220140000
614102235403320
71413012301305
oct245043421100
963160883643
1022155240000
11943a067803
1243638b3540
132121066c8a
1411026310ac
1589a095850
hex5288e2240

22155240000 has 140 divisors (see below), whose sum is σ = 73250789744. Its totient is φ = 5908032000.

The previous prime is 22155239993. The next prime is 22155240059. The reversal of 22155240000 is 4255122.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27687 + ... + 212313.

Almost surely, 222155240000 is an apocalyptic number.

22155240000 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 22155240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36625394872).

22155240000 is an abundant number, since it is smaller than the sum of its proper divisors (51095549744).

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

22155240000 is an equidigital number, since it uses as much as digits as its factorization.

22155240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184662 (or 184637 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 22155240000 its reverse (4255122), we get a palindrome (22159495122).

The spelling of 22155240000 in words is "twenty-two billion, one hundred fifty-five million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 184627 369254 553881 738508 923135 1107762 1477016 1846270 2215524 2769405 2954032 3692540 4431048 4615675 5538810 5908064 7385080 8862096 9231350 11077620 11816128 13847025 14770160 17724192 18462700 22155240 23078375 27694050 29540320 35448384 36925400 44310480 46156750 55388100 59080640 69235125 73850800 88620960 92313500 110776200 115391875 138470250 147701600 177241920 184627000 221552400 230783750 276940500 295403200 346175625 369254000 443104800 461567500 553881000 692351250 738508000 886209600 923135000 1107762000 1384702500 1477016000 1846270000 2215524000 2769405000 3692540000 4431048000 5538810000 7385080000 11077620000 22155240000