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20221100000 = 2555433467
BaseRepresentation
bin10010110101010001…
…010111111111100000
31221012020120022102122
4102311101113333200
5312403100200000
613142304203412
71314045341213
oct226521277740
957166508378
1020221100000
1186373137a2
123b04009568
131ba343bc3a
14d9b7db77a
157d5392085
hex4b5457fe0

20221100000 has 144 divisors (see below), whose sum is σ = 49981394736. Its totient is φ = 8052480000.

The previous prime is 20221099991. The next prime is 20221100033. The reversal of 20221100000 is 112202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43299767 + ... + 43300233.

It is an arithmetic number, because the mean of its divisors is an integer number (347093019).

Almost surely, 220221100000 is an apocalyptic number.

20221100000 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 20221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24990697368).

20221100000 is an abundant number, since it is smaller than the sum of its proper divisors (29760294736).

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

20221100000 is an frugal number, since it uses more digits than its factorization.

20221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 907 counting only the distinct ones).

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

Adding to 20221100000 its reverse (112202), we get a palindrome (20221212202).

The spelling of 20221100000 in words is "twenty billion, two hundred twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 433 467 500 625 800 866 934 1000 1250 1732 1868 2000 2165 2335 2500 3125 3464 3736 4000 4330 4670 5000 6250 6928 7472 8660 9340 10000 10825 11675 12500 13856 14944 17320 18680 20000 21650 23350 25000 34640 37360 43300 46700 50000 54125 58375 69280 74720 86600 93400 100000 108250 116750 173200 186800 202211 216500 233500 270625 291875 346400 373600 404422 433000 467000 541250 583750 808844 866000 934000 1011055 1082500 1167500 1353125 1459375 1617688 1732000 1868000 2022110 2165000 2335000 2706250 2918750 3235376 4044220 4330000 4670000 5055275 5412500 5837500 6470752 8088440 8660000 9340000 10110550 10825000 11675000 16176880 20221100 21650000 23350000 25276375 32353760 40442200 43300000 46700000 50552750 80884400 101105500 126381875 161768800 202211000 252763750 404422000 505527500 631909375 808844000 1011055000 1263818750 2022110000 2527637500 4044220000 5055275000 10110550000 20221100000