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22122140000 = 25544632389
BaseRepresentation
bin10100100110100101…
…010001000101100000
32010002201201011001112
4110212211101011200
5330301231440000
614055054122452
71412131041662
oct244645210540
963081634045
1022122140000
11942240a234
1243547b0428
132117247c8c
1410dc096532
15897208235
hex526951160

22122140000 has 120 divisors (see below), whose sum is σ = 54564158880. Its totient is φ = 8826048000.

The previous prime is 22122139999. The next prime is 22122140011. The reversal of 22122140000 is 4122122.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 9258806 + ... + 9261194.

It is an arithmetic number, because the mean of its divisors is an integer number (454701324).

Almost surely, 222122140000 is an apocalyptic number.

22122140000 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 22122140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27282079440).

22122140000 is an abundant number, since it is smaller than the sum of its proper divisors (32442018880).

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

22122140000 is an equidigital number, since it uses as much as digits as its factorization.

22122140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22122140000 its reverse (4122122), we get a palindrome (22126262122).

The spelling of 22122140000 in words is "twenty-two billion, one hundred twenty-two million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 463 500 625 800 926 1000 1250 1852 2000 2315 2389 2500 3704 4000 4630 4778 5000 7408 9260 9556 10000 11575 11945 14816 18520 19112 20000 23150 23890 37040 38224 46300 47780 57875 59725 74080 76448 92600 95560 115750 119450 185200 191120 231500 238900 289375 298625 370400 382240 463000 477800 578750 597250 926000 955600 1106107 1157500 1194500 1493125 1852000 1911200 2212214 2315000 2389000 2986250 4424428 4630000 4778000 5530535 5972500 8848856 9260000 9556000 11061070 11945000 17697712 22122140 23890000 27652675 35395424 44244280 47780000 55305350 88488560 110610700 138263375 176977120 221221400 276526750 442442800 553053500 691316875 884885600 1106107000 1382633750 2212214000 2765267500 4424428000 5530535000 11061070000 22122140000