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23210202320 = 2456126917681
BaseRepresentation
bin10101100111011011…
…111001010011010000
32012220120002102221222
4111213123321103100
5340013302433240
614355043104212
71451112315224
oct254733712320
965816072858
1023210202320
119930610598
1245b9072068
13225b7a9136
1411a27a8784
1590c9d1eb5
hex5676f94d0

23210202320 has 80 divisors (see below), whose sum is σ = 55055382480. Its totient is φ = 9097420800.

The previous prime is 23210202317. The next prime is 23210202329. The reversal of 23210202320 is 2320201232.

It can be written as a sum of positive squares in 8 ways, for example, as 10877655616 + 12332546704 = 104296^2 + 111052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23210202329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1303880 + ... + 1321560.

It is an arithmetic number, because the mean of its divisors is an integer number (688192281).

Almost surely, 223210202320 is an apocalyptic number.

23210202320 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 23210202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27527691240).

23210202320 is an abundant number, since it is smaller than the sum of its proper divisors (31845180160).

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

23210202320 is a wasteful number, since it uses less digits than its factorization.

23210202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18024 (or 18018 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 23210202320 its reverse (2320201232), we get a palindrome (25530403552).

The spelling of 23210202320 in words is "twenty-three billion, two hundred ten million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 269 305 488 538 610 976 1076 1220 1345 2152 2440 2690 4304 4880 5380 10760 16409 17681 21520 32818 35362 65636 70724 82045 88405 131272 141448 164090 176810 262544 282896 328180 353620 656360 707240 1078541 1312720 1414480 2157082 4314164 4756189 5392705 8628328 9512378 10785410 17256656 19024756 21570820 23780945 38049512 43141640 47561890 76099024 86283280 95123780 190247560 290127529 380495120 580255058 1160510116 1450637645 2321020232 2901275290 4642040464 5802550580 11605101160 23210202320