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24223621240 = 23571354112301
BaseRepresentation
bin10110100011110101…
…110010000001111000
32022112012000110101001
4112203311302001320
5344102221334430
615043404134344
71515166245310
oct264365620170
968465013331
1024223621240
11a30066a195
1248405373b4
1323907340c0
14125b20a440
1596b9643ca
hex5a3d72078

24223621240 has 128 divisors (see below), whose sum is σ = 67210254720. Its totient is φ = 7651584000.

The previous prime is 24223621237. The next prime is 24223621241. The reversal of 24223621240 is 4212632242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 24223621199 and 24223621208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24223621241) 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, 1963090 + ... + 1975390.

It is an arithmetic number, because the mean of its divisors is an integer number (525080115).

Almost surely, 224223621240 is an apocalyptic number.

24223621240 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 24223621240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33605127360).

24223621240 is an abundant number, since it is smaller than the sum of its proper divisors (42986633480).

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

24223621240 is a wasteful number, since it uses less digits than its factorization.

24223621240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12873 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 24223621240 in words is "twenty-four billion, two hundred twenty-three million, six hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 541 728 910 1082 1820 2164 2705 3640 3787 4328 5410 7033 7574 10820 12301 14066 15148 18935 21640 24602 28132 30296 35165 37870 49204 49231 56264 61505 70330 75740 86107 98408 98462 123010 140660 151480 159913 172214 196924 246020 246155 281320 319826 344428 393848 430535 492040 492310 639652 688856 799565 861070 984620 1119391 1279304 1599130 1722140 1969240 2238782 3198260 3444280 4477564 5596955 6396520 6654841 8955128 11193910 13309682 22387820 26619364 33274205 44775640 46583887 53238728 66548410 86512933 93167774 133096820 173025866 186335548 232919435 266193640 346051732 372671096 432564665 465838870 605590531 692103464 865129330 931677740 1211181062 1730258660 1863355480 2422362124 3027952655 3460517320 4844724248 6055905310 12111810620 24223621240