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22020322000 = 245316367547
BaseRepresentation
bin10100100000100000…
…110111001011010000
32002211122010021000111
4110200200313023100
5330044200301000
614041015531104
71406453435335
oct244040671320
962748107014
1022020322000
11937a996926
124326689a94
1320cc118b41
1410cc75098c
1588d2e4cba
hex5208372d0

22020322000 has 80 divisors (see below), whose sum is σ = 53572588992. Its totient is φ = 8753961600.

The previous prime is 22020321971. The next prime is 22020322001. The reversal of 22020322000 is 22302022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020322001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 292227 + ... + 359773.

Almost surely, 222020322000 is an apocalyptic number.

22020322000 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 22020322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26786294496).

22020322000 is an abundant number, since it is smaller than the sum of its proper divisors (31552266992).

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

22020322000 is a wasteful number, since it uses less digits than its factorization.

22020322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67733 (or 67717 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 22020322000 its reverse (22302022), we get a palindrome (22042624022).

The spelling of 22020322000 in words is "twenty-two billion, twenty million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 200 250 326 400 500 652 815 1000 1304 1630 2000 2608 3260 4075 6520 8150 13040 16300 20375 32600 40750 65200 67547 81500 135094 163000 270188 326000 337735 540376 675470 1080752 1350940 1688675 2701880 3377350 5403760 6754700 8443375 11010161 13509400 16886750 22020322 27018800 33773500 44040644 55050805 67547000 88081288 110101610 135094000 176162576 220203220 275254025 440406440 550508050 880812880 1101016100 1376270125 2202032200 2752540250 4404064400 5505080500 11010161000 22020322000