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2022110221000 = 235335915973527
BaseRepresentation
bin11101011011001111001…
…010010101001011001000
321011022102100010110020011
4131123033022111023020
5231112240204033000
64144540011441304
7266043530165542
oct35331712251310
97138370113204
102022110221000
1170a63255a101
12287a94756234
131188b819818c
146dc29122692
15378ee12e2ba
hex1d6cf2952c8

2022110221000 has 128 divisors (see below), whose sum is σ = 4749235545600. Its totient is φ = 805857427200.

The previous prime is 2022110220973. The next prime is 2022110221009. The reversal of 2022110221000 is 1220112202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2022110221009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573321237 + ... + 573324763.

It is an arithmetic number, because the mean of its divisors is an integer number (37103402700).

Almost surely, 22022110221000 is an apocalyptic number.

2022110221000 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 2022110221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374617772800).

2022110221000 is an abundant number, since it is smaller than the sum of its proper divisors (2727125324600).

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

2022110221000 is a wasteful number, since it uses less digits than its factorization.

2022110221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2022110221000 its reverse (1220112202), we get a palindrome (2023330333202).

The spelling of 2022110221000 in words is "two trillion, twenty-two billion, one hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 359 500 718 1000 1436 1597 1795 2872 3194 3527 3590 6388 7054 7180 7985 8975 12776 14108 14360 15970 17635 17950 28216 31940 35270 35900 39925 44875 63880 70540 71800 79850 88175 89750 141080 159700 176350 179500 199625 319400 352700 359000 399250 440875 573323 705400 798500 881750 1146646 1266193 1597000 1763500 2293292 2532386 2866615 3527000 4586584 5064772 5632619 5733230 6330965 10129544 11265238 11466460 12661930 14333075 22530476 22932920 25323860 28163095 28666150 31654825 45060952 50647720 56326190 57332300 63309650 71665375 112652380 114664600 126619300 140815475 143330750 158274125 225304760 253238600 281630950 286661500 316548250 563261900 573323000 633096500 704077375 1126523800 1266193000 1408154750 2022110221 2816309500 4044220442 5632619000 8088440884 10110551105 16176881768 20221102210 40442204420 50552755525 80884408840 101105511050 202211022100 252763777625 404422044200 505527555250 1011055110500 2022110221000