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23024130720 = 2535197243487
BaseRepresentation
bin10101011100010110…
…000101101010100000
32012102120222000201020
4111130112011222200
5334123134140340
614324355005440
71443362611353
oct253426055240
965376860636
1023024130720
119845581208
124566899880
13222c08a7b6
141185bb029a
158eb4c99d0
hex55c585aa0

23024130720 has 96 divisors (see below), whose sum is σ = 72894463488. Its totient is φ = 6108576768.

The previous prime is 23024130673. The next prime is 23024130721. The reversal of 23024130720 is 2703142032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×230241307202 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23024130721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27184 + ... + 216303.

It is an arithmetic number, because the mean of its divisors is an integer number (759317328).

Almost surely, 223024130720 is an apocalyptic number.

23024130720 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 23024130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36447231744).

23024130720 is an abundant number, since it is smaller than the sum of its proper divisors (49870332768).

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

23024130720 is a wasteful number, since it uses less digits than its factorization.

23024130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243702 (or 243694 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

Adding to 23024130720 its reverse (2703142032), we get a palindrome (25727272752).

The spelling of 23024130720 in words is "twenty-three billion, twenty-four million, one hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 15760 18912 23640 31520 47280 94560 243487 486974 730461 973948 1217435 1460922 1947896 2434870 2921844 3652305 3895792 4869740 5843688 7304610 7791584 9739480 11687376 14609220 19478960 23374752 29218440 38957920 47966939 58436880 95933878 116873760 143900817 191867756 239834695 287801634 383735512 479669390 575603268 719504085 767471024 959338780 1151206536 1439008170 1534942048 1918677560 2302413072 2878016340 3837355120 4604826144 5756032680 7674710240 11512065360 23024130720