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20221323300 = 22335213754667
BaseRepresentation
bin10010110101010010…
…001110100000100100
31221012020222122202000
4102311102032200210
5312403124321200
613142313045300
71314050261223
oct226522164044
957166878660
1020221323300
118637456542
123b040b6830
131ba34b9779
14d9b858cba
157d53d8300
hex4b548e824

20221323300 has 144 divisors (see below), whose sum is σ = 65483517120. Its totient is φ = 5352894720.

The previous prime is 20221323277. The next prime is 20221323301. The reversal of 20221323300 is 332312202.

It is a happy number.

20221323300 is a `hidden beast` number, since 20 + 2 + 21 + 323 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20221323301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342567 + ... + 397233.

Almost surely, 220221323300 is an apocalyptic number.

20221323300 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 20221323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32741758560).

20221323300 is an abundant number, since it is smaller than the sum of its proper divisors (45262193820).

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

20221323300 is a wasteful number, since it uses less digits than its factorization.

20221323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54827 (or 54814 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20221323300 its reverse (332312202), we get a palindrome (20553635502).

The spelling of 20221323300 in words is "twenty billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 137 150 180 225 270 274 300 411 450 540 548 675 685 822 900 1233 1350 1370 1644 2055 2466 2700 2740 3425 3699 4110 4932 6165 6850 7398 8220 10275 12330 13700 14796 18495 20550 24660 30825 36990 41100 54667 61650 73980 92475 109334 123300 164001 184950 218668 273335 328002 369900 492003 546670 656004 820005 984006 1093340 1366675 1476009 1640010 1968012 2460015 2733350 2952018 3280020 4100025 4920030 5466700 5904036 7380045 7489379 8200050 9840060 12300075 14760090 14978758 16400100 22468137 24600150 29520180 29957516 36900225 37446895 44936274 49200300 67404411 73800450 74893790 89872548 112340685 134808822 147600900 149787580 187234475 202213233 224681370 269617644 337022055 374468950 404426466 449362740 561703425 674044110 748937900 808852932 1011066165 1123406850 1348088220 1685110275 2022132330 2246813700 3370220550 4044264660 5055330825 6740441100 10110661650 20221323300