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20223301212200 = 23526713337113159
BaseRepresentation
bin1001001100100100110101…
…01011110101100000101000
32122121022212122002102012102
410212102122223311200220
510122314310102242300
6111002242322032532
74155041154014102
oct446223253654050
978538778072172
1020223301212200
11649772134a8a9
1223274b27a8748
13b39083bc5828
144dcb54c38572
152510c3cb80d5
hex12649aaf5828

20223301212200 has 96 divisors (see below), whose sum is σ = 47724953889600. Its totient is φ = 7967916464640.

The previous prime is 20223301212151. The next prime is 20223301212229. The reversal of 20223301212200 is 221210332202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 178659221 + ... + 178772379.

It is an arithmetic number, because the mean of its divisors is an integer number (497134936350).

Almost surely, 220223301212200 is an apocalyptic number.

20223301212200 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 20223301212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23862476944800).

20223301212200 is an abundant number, since it is smaller than the sum of its proper divisors (27501652677400).

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

20223301212200 is a wasteful number, since it uses less digits than its factorization.

20223301212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126579 (or 126570 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20223301212200 its reverse (221210332202), we get a palindrome (20444511544402).

The spelling of 20223301212200 in words is "twenty trillion, two hundred twenty-three billion, three hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6700 13337 13400 26674 53348 66685 106696 113159 133370 226318 266740 333425 452636 533480 565795 666850 893579 905272 1131590 1333700 1787158 2263180 2667400 2828975 3574316 4467895 4526360 5657950 7148632 7581653 8935790 11315900 15163306 17871580 22339475 22631800 30326612 35743160 37908265 44678950 60653224 75816530 89357900 151633060 178715800 189541325 303266120 379082650 758165300 1509201583 1516330600 3018403166 6036806332 7546007915 12073612664 15092015830 30184031660 37730039575 60368063320 75460079150 101116506061 150920158300 202233012122 301840316600 404466024244 505582530305 808932048488 1011165060610 2022330121220 2527912651525 4044660242440 5055825303050 10111650606100 20223301212200