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20000122200 = 23325222374967
BaseRepresentation
bin10010101000000110…
…011010010101011000
31220121211202110212200
4102220012122111120
5311430012402300
613104332010200
71305423143112
oct225006322530
956554673780
1020000122200
118533602913
123a62000960
131b6971b446
14d7a3183b2
157c0c92200
hex4a819a558

20000122200 has 144 divisors (see below), whose sum is σ = 67210631280. Its totient is φ = 5329908480.

The previous prime is 20000122183. The next prime is 20000122201. The reversal of 20000122200 is 222100002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000122201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4024117 + ... + 4029083.

It is an arithmetic number, because the mean of its divisors is an integer number (466740495).

Almost surely, 220000122200 is an apocalyptic number.

20000122200 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 20000122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33605315640).

20000122200 is an abundant number, since it is smaller than the sum of its proper divisors (47210509080).

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

20000122200 is a wasteful number, since it uses less digits than its factorization.

20000122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20000122200 its reverse (222100002), we get a palindrome (20222222202).

The spelling of 20000122200 in words is "twenty billion, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2237 4474 4967 6711 8948 9934 11185 13422 14901 17896 19868 20133 22370 24835 26844 29802 33555 39736 40266 44703 44740 49670 53688 55925 59604 67110 74505 80532 89406 89480 99340 100665 111850 119208 124175 134220 149010 161064 167775 178812 198680 201330 223515 223700 248350 268440 298020 335550 357624 372525 402660 447030 447400 496700 503325 596040 671100 745050 805320 894060 993400 1006650 1117575 1342200 1490100 1788120 2013300 2235150 2980200 4026600 4470300 8940600 11111179 22222358 33333537 44444716 55555895 66667074 88889432 100000611 111111790 133334148 166667685 200001222 222223580 266668296 277779475 333335370 400002444 444447160 500003055 555558950 666670740 800004888 833338425 1000006110 1111117900 1333341480 1666676850 2000012220 2222235800 2500015275 3333353700 4000024440 5000030550 6666707400 10000061100 20000122200