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20223300120 = 23353136714813
BaseRepresentation
bin10010110101011001…
…110001001000011000
31221012101201002102120
4102311121301020120
5312404131100440
613142423301240
71314103133442
oct226531611030
957171632376
1020223300120
118638586781
123b048aa820
131ba3a2c49a
14d9bc11492
157d5678dd0
hex4b5671218

20223300120 has 128 divisors (see below), whose sum is σ = 62801879040. Its totient is φ = 5204344320.

The previous prime is 20223300103. The next prime is 20223300121. The reversal of 20223300120 is 2100332202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20223300120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20223300121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357834 + ... + 1372646.

It is an arithmetic number, because the mean of its divisors is an integer number (490639680).

Almost surely, 220223300120 is an apocalyptic number.

20223300120 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 20223300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31400939520).

20223300120 is an abundant number, since it is smaller than the sum of its proper divisors (42578578920).

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

20223300120 is a wasteful number, since it uses less digits than its factorization.

20223300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15225 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20223300120 its reverse (2100332202), we get a palindrome (22323632322).

The spelling of 20223300120 in words is "twenty billion, two hundred twenty-three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 367 372 465 620 734 744 930 1101 1240 1468 1835 1860 2202 2936 3670 3720 4404 5505 7340 8808 11010 11377 14680 14813 22020 22754 29626 34131 44040 44439 45508 56885 59252 68262 74065 88878 91016 113770 118504 136524 148130 170655 177756 222195 227540 273048 296260 341310 355512 444390 455080 459203 592520 682620 888780 918406 1365240 1377609 1777560 1836812 2296015 2755218 3673624 4592030 5436371 5510436 6888045 9184060 10872742 11020872 13776090 16309113 18368120 21745484 27181855 27552180 32618226 43490968 54363710 55104360 65236452 81545565 108727420 130472904 163091130 168527501 217454840 326182260 337055002 505582503 652364520 674110004 842637505 1011165006 1348220008 1685275010 2022330012 2527912515 3370550020 4044660024 5055825030 6741100040 10111650060 20223300120