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23323020320 = 255295718803
BaseRepresentation
bin10101101110001010…
…010000110000100000
32020012102101012011102
4111232022100300200
5340231143122240
614414153133532
71453652254535
oct255612206040
966172335142
1023323020320
119989267406
12462a9ba2a8
132278c8a052
1411b3774d8c
15917869815
hex56e290c20

23323020320 has 96 divisors (see below), whose sum is σ = 57106969920. Its totient is φ = 8990714880.

The previous prime is 23323020299. The next prime is 23323020377. The reversal of 23323020320 is 2302032332.

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 = 23323020292 and 23323020301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2645039 + ... + 2653841.

It is an arithmetic number, because the mean of its divisors is an integer number (594864270).

Almost surely, 223323020320 is an apocalyptic number.

23323020320 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 23323020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28553484960).

23323020320 is an abundant number, since it is smaller than the sum of its proper divisors (33783949600).

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

23323020320 is a wasteful number, since it uses less digits than its factorization.

23323020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 23323020320 its reverse (2302032332), we get a palindrome (25625052652).

The spelling of 23323020320 in words is "twenty-three billion, three hundred twenty-three million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 571 580 928 1142 1160 2284 2320 2855 4568 4640 5710 8803 9136 11420 16559 17606 18272 22840 33118 35212 44015 45680 66236 70424 82795 88030 91360 132472 140848 165590 176060 255287 264944 281696 331180 352120 510574 529888 662360 704240 1021148 1276435 1324720 1408480 2042296 2552870 2649440 4084592 5026513 5105740 8169184 10053026 10211480 20106052 20422960 25132565 40212104 40845920 50265130 80424208 100530260 145768877 160848416 201060520 291537754 402121040 583075508 728844385 804242080 1166151016 1457688770 2332302032 2915377540 4664604064 5830755080 11661510160 23323020320