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23200220320220 = 22519353402143013
BaseRepresentation
bin1010100011001101110001…
…11001000001000111011100
310001010220211020120220010102
411101212320321001013130
511020103022400221340
6121202011210000232
74613106041642006
oct521467071010734
9101126736526112
1023200220320220
1174351815a6839
122728436a16078
13cc3a049831a8
145a2c7a5c7376
152a375706e215
hex1519b8e411dc

23200220320220 has 96 divisors (see below), whose sum is σ = 51443966306880. Its totient is φ = 8764372869120.

The previous prime is 23200220320177. The next prime is 23200220320229. The reversal of 23200220320220 is 2202302200232.

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

It is a junction number, because it is equal to n+sod(n) for n = 23200220320192 and 23200220320201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200220320229) 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, 539355434 + ... + 539398446.

It is an arithmetic number, because the mean of its divisors is an integer number (535874649030).

Almost surely, 223200220320220 is an apocalyptic number.

23200220320220 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 23200220320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25721983153440).

23200220320220 is an abundant number, since it is smaller than the sum of its proper divisors (28243745986660).

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

23200220320220 is a wasteful number, since it uses less digits than its factorization.

23200220320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47415 (or 47413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23200220320220 its reverse (2202302200232), we get a palindrome (25402522520452).

The spelling of 23200220320220 in words is "twenty-three trillion, two hundred billion, two hundred twenty million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 353 380 706 1412 1765 3530 4021 6707 7060 8042 13414 16084 20105 26828 33535 40210 43013 67070 76399 80420 86026 134140 152798 172052 215065 305596 381995 430130 763990 817247 860260 1419413 1527980 1634494 2838826 3268988 4086235 5677652 7097065 8172470 14194130 15183589 16344940 26968847 28388260 30367178 53937694 60734356 75917945 107875388 134844235 151835890 172955273 269688470 288488191 303671780 345910546 539376940 576976382 691821092 864776365 1153952764 1442440955 1729552730 2884881910 3286150187 3459105460 5769763820 6572300374 13144600748 16430750935 32861501870 61053211369 65723003740 122106422738 244212845476 305266056845 610532113690 1160011016011 1221064227380 2320022032022 4640044064044 5800055080055 11600110160110 23200220320220