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22210001000 = 23531110119991
BaseRepresentation
bin10100101011110100…
…011011100001101000
32010022212000221200122
4110223310123201220
5330441230013000
614111513222412
71414245615335
oct245364334150
963285027618
1022210001000
119467a6a530
12437a101a08
13212c4cb435
141109a0798c
1589ecb1085
hex52bd1b868

22210001000 has 128 divisors (see below), whose sum is σ = 57260286720. Its totient is φ = 7996000000.

The previous prime is 22210000957. The next prime is 22210001053. The reversal of 22210001000 is 10001222.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101005 + ... + 1120995.

It is an arithmetic number, because the mean of its divisors is an integer number (447345990).

Almost surely, 222210001000 is an apocalyptic number.

22210001000 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 22210001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28630143360).

22210001000 is an abundant number, since it is smaller than the sum of its proper divisors (35050285720).

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

22210001000 is a wasteful number, since it uses less digits than its factorization.

22210001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20124 (or 20110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22210001000 its reverse (10001222), we get a palindrome (22220002222).

The spelling of 22210001000 in words is "twenty-two billion, two hundred ten million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 19991 20200 22220 25250 27775 39982 44440 50500 55550 79964 99955 101000 111100 138875 159928 199910 219901 222200 277750 399820 439802 499775 555500 799640 879604 999550 1099505 1111000 1759208 1999100 2019091 2199010 2498875 3998200 4038182 4398020 4997750 5497525 8076364 8796040 9995500 10095455 10995050 16152728 19991000 20190910 21990100 22210001 27487625 40381820 43980200 44420002 50477275 54975250 80763640 88840004 100954550 109950500 111050005 177680008 201909100 219901000 222100010 252386375 403818200 444200020 504772750 555250025 888400040 1009545500 1110500050 2019091000 2221000100 2776250125 4442000200 5552500250 11105000500 22210001000