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23203300320 = 2532516113403
BaseRepresentation
bin10101100111000001…
…100100001111100000
32012220002002210012100
4111213001210033200
5340010021102240
614354235130400
71450666540614
oct254701441740
965802083170
1023203300320
119927726a62
1245b68a3a00
13225a230705
1411a18cd344
1590c0bbe30
hex5670643e0

23203300320 has 72 divisors (see below), whose sum is σ = 79181267256. Its totient is φ = 6187546368.

The previous prime is 23203300303. The next prime is 23203300339. The reversal of 23203300320 is 2300330232.

23203300320 is a `hidden beast` number, since 23 + 20 + 3 + 300 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×232033003202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23203300293 and 23203300302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8055262 + ... + 8058141.

It is an arithmetic number, because the mean of its divisors is an integer number (1099739823).

Almost surely, 223203300320 is an apocalyptic number.

23203300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23203300320 is an abundant number, since it is smaller than the sum of its proper divisors (55977966936).

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

23203300320 is a wasteful number, since it uses less digits than its factorization.

23203300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16113424 (or 16113413 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23203300320 its reverse (2300330232), we get a palindrome (25503630552).

The spelling of 23203300320 in words is "twenty-three billion, two hundred three million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16113403 32226806 48340209 64453612 80567015 96680418 128907224 145020627 161134030 193360836 241701045 257814448 290041254 322268060 386721672 483402090 515628896 580082508 644536120 725103135 773443344 966804180 1160165016 1289072240 1450206270 1546886688 1933608360 2320330032 2578144480 2900412540 3867216720 4640660064 5800825080 7734433440 11601650160 23203300320