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22020100000 = 25551712953
BaseRepresentation
bin10100100000100000…
…000000111110100000
32002211121200222111021
4110200200000332200
5330044121200000
614041011055224
71406451522163
oct244040007640
962747628437
1022020100000
11937a855058
1243265a1514
1320cc06ba92
1410cc6d3ada
1588d29e11a
hex520800fa0

22020100000 has 144 divisors (see below), whose sum is σ = 57378499416. Its totient is φ = 8289280000.

The previous prime is 22020099979. The next prime is 22020100013. The reversal of 22020100000 is 102022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 12132581904 + 9887518096 = 110148^2 + 99436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1693524 + ... + 1706476.

Almost surely, 222020100000 is an apocalyptic number.

22020100000 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 22020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28689249708).

22020100000 is an abundant number, since it is smaller than the sum of its proper divisors (35358399416).

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

22020100000 is an equidigital number, since it uses as much as digits as its factorization.

22020100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13005 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 22020100000 its reverse (102022), we get a palindrome (22020202022).

The spelling of 22020100000 in words is "twenty-two billion, twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3125 3400 4000 4250 5000 6250 6800 8500 10000 10625 12500 12953 13600 17000 20000 21250 25000 25906 34000 42500 50000 51812 53125 64765 68000 85000 100000 103624 106250 129530 170000 207248 212500 220201 259060 323825 340000 414496 425000 440402 518120 647650 850000 880804 1036240 1101005 1295300 1619125 1700000 1761608 2072480 2202010 2590600 3238250 3523216 4404020 5181200 5505025 6476500 7046432 8095625 8808040 10362400 11010050 12953000 16191250 17616080 22020100 25906000 27525125 32382500 35232160 40478125 44040200 51812000 55050250 64765000 80956250 88080400 110100500 129530000 137625625 161912500 176160800 220201000 259060000 275251250 323825000 440402000 550502500 647650000 688128125 880804000 1101005000 1295300000 1376256250 2202010000 2752512500 4404020000 5505025000 11010050000 22020100000