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23240144303200 = 2552118179322891
BaseRepresentation
bin1010100100011000001001…
…00010111011010001100000
310001021201212121121100212201
411102030010202323101200
511021231303420200300
6121232212551302544
74616021304125566
oct522140442732140
9101251777540781
1023240144303200
1174500a96540a0
12273411937aa54
13cc76c806b266
145a4b86a47a36
152a47e203c66a
hex1523048bb460

23240144303200 has 144 divisors (see below), whose sum is σ = 61900488740160. Its totient is φ = 8449902144000.

The previous prime is 23240144303143. The next prime is 23240144303209. The reversal of 23240144303200 is 230344104232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23240144303209) 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 23 ways as a sum of consecutive naturals, for example, 71813755 + ... + 72136645.

It is an arithmetic number, because the mean of its divisors is an integer number (429864505140).

Almost surely, 223240144303200 is an apocalyptic number.

23240144303200 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 23240144303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30950244370080).

23240144303200 is an abundant number, since it is smaller than the sum of its proper divisors (38660344436960).

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

23240144303200 is a wasteful number, since it uses less digits than its factorization.

23240144303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331101 (or 331088 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23240144303200 its reverse (230344104232), we get a palindrome (23470488407432).

The spelling of 23240144303200 in words is "twenty-three trillion, two hundred forty billion, one hundred forty-four million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8179 8800 16358 32716 40895 65432 81790 89969 130864 163580 179938 204475 261728 322891 327160 359876 408950 449845 645782 654320 719752 817900 899690 1291564 1308640 1439504 1614455 1635800 1799380 2249225 2583128 2879008 3228910 3271600 3551801 3598760 4498450 5166256 6457820 6543200 7103602 7197520 8072275 8996900 10332512 12915640 14207204 14395040 16144550 17759005 17993800 25831280 28414408 32289100 35518010 35987600 51662560 56828816 64578200 71036020 71975200 88795025 113657632 129156400 142072040 177590050 258312800 284144080 355180100 568288160 710360200 1420720400 2640925489 2841440800 5281850978 10563701956 13204627445 21127403912 26409254890 29050180379 42254807824 52818509780 58100360758 66023137225 84509615648 105637019560 116200721516 132046274450 145250901895 211274039120 232401443032 264092548900 290501803790 422548078240 464802886064 528185097800 581003607580 726254509475 929605772128 1056370195600 1162007215160 1452509018950 2112740391200 2324014430320 2905018037900 4648028860640 5810036075800 11620072151600 23240144303200