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20000222200 = 23527212591621
BaseRepresentation
bin10010101000000110…
…110010101111111000
31220121211221120001101
4102220012302233320
5311430024102300
613104334101144
71305424040500
oct225006625770
956554846041
1020000222200
118533670a62
123a6204a7b4
131b69754b0a
14d7a342a00
157c0cb1b6a
hex4a81b2bf8

20000222200 has 144 divisors (see below), whose sum is σ = 54168798600. Its totient is φ = 6847545600.

The previous prime is 20000222197. The next prime is 20000222201. The reversal of 20000222200 is 222200002.

It is a Harshad number since it is a multiple of its sum of digits (10).

20000222200 is a modest number, since divided by 222200 gives 200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000222201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 12337390 + ... + 12339010.

Almost surely, 220000222200 is an apocalyptic number.

20000222200 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 20000222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27084399300).

20000222200 is an abundant number, since it is smaller than the sum of its proper divisors (34168576400).

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

20000222200 is a wasteful number, since it uses less digits than its factorization.

20000222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 20000222200 its reverse (222200002), we get a palindrome (20222422202).

The spelling of 20000222200 in words is "twenty billion, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1259 1400 1621 1960 2450 2518 3242 4900 5036 6295 6484 8105 8813 9800 10072 11347 12590 12968 16210 17626 22694 25180 31475 32420 35252 40525 44065 45388 50360 56735 61691 62950 64840 70504 79429 81050 88130 90776 113470 123382 125900 158858 162100 176260 220325 226940 246764 251800 283675 308455 317716 324200 352520 397145 440650 453880 493528 567350 616910 635432 794290 881300 1134700 1233820 1542275 1588580 1762600 1985725 2040839 2269400 2467640 3084550 3177160 3971450 4081678 6169100 7942900 8163356 10204195 12338200 14285873 15885800 16326712 20408390 28571746 40816780 51020975 57143492 71429365 81633560 100001111 102041950 114286984 142858730 200002222 204083900 285717460 357146825 400004444 408167800 500005555 571434920 714293650 800008888 1000011110 1428587300 2000022220 2500027775 2857174600 4000044440 5000055550 10000111100 20000222200