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20221311200 = 255271577617
BaseRepresentation
bin10010110101010010…
…001011100011100000
31221012020222001010212
4102311102023203200
5312403123424300
613142312513252
71314050211026
oct226522134340
957166861125
1020221311200
118637448442
123b040ab828
131ba34b40cc
14d9b854716
157d53d4935
hex4b548b8e0

20221311200 has 144 divisors (see below), whose sum is σ = 50228597664. Its totient is φ = 7947878400.

The previous prime is 20221311179. The next prime is 20221311211. The reversal of 20221311200 is 211312202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32773292 + ... + 32773908.

It is an arithmetic number, because the mean of its divisors is an integer number (348809706).

Almost surely, 220221311200 is an apocalyptic number.

20221311200 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 20221311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25114298832).

20221311200 is an abundant number, since it is smaller than the sum of its proper divisors (30007286464).

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

20221311200 is a wasteful number, since it uses less digits than its factorization.

20221311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20221311200 its reverse (211312202), we get a palindrome (20432623402).

The spelling of 20221311200 in words is "twenty billion, two hundred twenty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 142 160 200 284 355 400 568 577 617 710 800 1136 1154 1234 1420 1775 2272 2308 2468 2840 2885 3085 3550 4616 4936 5680 5770 6170 7100 9232 9872 11360 11540 12340 14200 14425 15425 18464 19744 23080 24680 28400 28850 30850 40967 43807 46160 49360 56800 57700 61700 81934 87614 92320 98720 115400 123400 163868 175228 204835 219035 230800 246800 327736 350456 356009 409670 438070 461600 493600 655472 700912 712018 819340 876140 1024175 1095175 1310944 1401824 1424036 1638680 1752280 1780045 2048350 2190350 2848072 3277360 3504560 3560090 4096700 4380700 5696144 6554720 7009120 7120180 8193400 8761400 8900225 11392288 14240360 16386800 17522800 17800450 25276639 28480720 32773600 35045600 35600900 50553278 56961440 71201800 101106556 126383195 142403600 202213112 252766390 284807200 404426224 505532780 631915975 808852448 1011065560 1263831950 2022131120 2527663900 4044262240 5055327800 10110655600 20221311200