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22034144000 = 28531162597
BaseRepresentation
bin10100100001010101…
…100101101100000000
32002212121010111020102
4110201111211230000
5330111220102000
614042232101532
71410012063611
oct244125455400
962777114212
1022034144000
119387777570
12432b2348a8
132101c4823b
1410d050bc08
1588e6253d5
hex521565b00

22034144000 has 144 divisors (see below), whose sum is σ = 59880746016. Its totient is φ = 8012288000.

The previous prime is 22034143973. The next prime is 22034144021. The reversal of 22034144000 is 44143022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320702 + ... + 383298.

It is an arithmetic number, because the mean of its divisors is an integer number (415838514).

Almost surely, 222034144000 is an apocalyptic number.

22034144000 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 22034144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29940373008).

22034144000 is an abundant number, since it is smaller than the sum of its proper divisors (37846602016).

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

22034144000 is an equidigital number, since it uses as much as digits as its factorization.

22034144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62639 (or 62615 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22034144000 its reverse (44143022), we get a palindrome (22078287022).

The spelling of 22034144000 in words is "twenty-two billion, thirty-four million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1280 1375 1408 1600 1760 2000 2200 2750 2816 3200 3520 4000 4400 5500 6400 7040 8000 8800 11000 14080 16000 17600 22000 32000 35200 44000 62597 70400 88000 125194 176000 250388 312985 352000 500776 625970 688567 1001552 1251940 1377134 1564925 2003104 2503880 2754268 3129850 3442835 4006208 5007760 5508536 6259700 6885670 7824625 8012416 10015520 11017072 12519400 13771340 15649250 16024832 17214175 20031040 22034144 25038800 27542680 31298500 34428350 40062080 44068288 50077600 55085360 62597000 68856700 80124160 86070875 88136576 100155200 110170720 125194000 137713400 172141750 176273152 200310400 220341440 250388000 275426800 344283500 400620800 440682880 500776000 550853600 688567000 881365760 1001552000 1101707200 1377134000 2003104000 2203414400 2754268000 4406828800 5508536000 11017072000 22034144000