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23210314440 = 2335597734241
BaseRepresentation
bin10101100111011100…
…010100101011001000
32012220120022010202120
4111213130110223020
5340013320030230
614355045331240
71451113263135
oct254734245310
965816263676
1023210314440
119930687855
1245b9106b20
13225b818191
1411a27d758c
1590ca05310
hex567714ac8

23210314440 has 128 divisors (see below), whose sum is σ = 70919452800. Its totient is φ = 6075207680.

The previous prime is 23210314423. The next prime is 23210314441. The reversal of 23210314440 is 4441301232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23210314440.

It is not an unprimeable number, because it can be changed into a prime (23210314441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5470720 + ... + 5474960.

It is an arithmetic number, because the mean of its divisors is an integer number (554058225).

Almost surely, 223210314440 is an apocalyptic number.

23210314440 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 23210314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35459726400).

23210314440 is an abundant number, since it is smaller than the sum of its proper divisors (47709138360).

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

23210314440 is a wasteful number, since it uses less digits than its factorization.

23210314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23210314440 its reverse (4441301232), we get a palindrome (27651615672).

The spelling of 23210314440 in words is "twenty-three billion, two hundred ten million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 773 885 1180 1416 1546 1770 2319 2360 3092 3540 3865 4241 4638 6184 7080 7730 8482 9276 11595 12723 15460 16964 18552 21205 23190 25446 30920 33928 42410 45607 46380 50892 63615 84820 91214 92760 101784 127230 136821 169640 182428 228035 250219 254460 273642 364856 456070 500438 508920 547284 684105 750657 912140 1000876 1094568 1251095 1368210 1501314 1824280 2001752 2502190 2736420 3002628 3278293 3753285 5004380 5472840 6005256 6556586 7506570 9834879 10008760 13113172 15013140 16391465 19669758 26226344 30026280 32782930 39339516 49174395 65565860 78679032 98348790 131131720 193419287 196697580 386838574 393395160 580257861 773677148 967096435 1160515722 1547354296 1934192870 2321031444 2901289305 3868385740 4642062888 5802578610 7736771480 11605157220 23210314440