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22022010020 = 22531372274229
BaseRepresentation
bin10100100000100111…
…010011010010100100
32002211202022000112202
4110200213103102210
5330100113310040
614041120034032
71406503665563
oct244047232244
962752260482
1022022010020
11938093a08a
124327162918
1320cc58a27a
1410cca6dbda
1588d52a015
hex5209d34a4

22022010020 has 96 divisors (see below), whose sum is σ = 49255879680. Its totient is φ = 8255761920.

The previous prime is 22022010011. The next prime is 22022010037. The reversal of 22022010020 is 2001022022.

It is a junction number, because it is equal to n+sod(n) for n = 22022009983 and 22022010010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5205266 + ... + 5209494.

It is an arithmetic number, because the mean of its divisors is an integer number (513082080).

Almost surely, 222022010020 is an apocalyptic number.

22022010020 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 22022010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24627939840).

22022010020 is an abundant number, since it is smaller than the sum of its proper divisors (27233869660).

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

22022010020 is a wasteful number, since it uses less digits than its factorization.

22022010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22022010020 its reverse (2001022022), we get a palindrome (24023032042).

The spelling of 22022010020 in words is "twenty-two billion, twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 227 310 370 454 620 740 908 1135 1147 2270 2294 4229 4540 4588 5735 7037 8399 8458 11470 14074 16798 16916 21145 22940 28148 33596 35185 41995 42290 70370 83990 84580 131099 140740 156473 167980 260369 262198 312946 520738 524396 625892 655495 782365 959983 1041476 1301845 1310990 1564730 1919966 2603690 2621980 3129460 3839932 4799915 4850663 5207380 9599830 9701326 19199660 19402652 24253315 29759473 35519371 48506630 59518946 71038742 97013260 119037892 142077484 148797365 177596855 297594730 355193710 595189460 710387420 1101100501 2202201002 4404402004 5505502505 11011005010 22022010020