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4224300520 = 23511234110181
BaseRepresentation
bin1111101111001001…
…1011010111101000
3101220101202200220211
43323302123113220
532122410104040
61535101230504
7206452650646
oct37362332750
911811680824
104224300520
111878564560
1299a862434
1352423670b
142c1060196
1519acce8ea
hexfbc9b5e8

4224300520 has 128 divisors (see below), whose sum is σ = 11084532480. Its totient is φ = 1433344000.

The previous prime is 4224300517. The next prime is 4224300547. The reversal of 4224300520 is 250034224.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4224300491 and 4224300500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409830 + ... + 420010.

It is an arithmetic number, because the mean of its divisors is an integer number (86597910).

Almost surely, 24224300520 is an apocalyptic number.

4224300520 is a gapful number since it is divisible by the number (40) 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 4224300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542266240).

4224300520 is an abundant number, since it is smaller than the sum of its proper divisors (6860231960).

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

4224300520 is a wasteful number, since it uses less digits than its factorization.

4224300520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10267 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4224300520 is about 64994.6191618968. The cubic root of 4224300520 is about 1616.5343429916.

Adding to 4224300520 its reverse (250034224), we get a palindrome (4474334744).

The spelling of 4224300520 in words is "four billion, two hundred twenty-four million, three hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 41 44 46 55 82 88 92 110 115 164 184 205 220 230 253 328 410 440 451 460 506 820 902 920 943 1012 1265 1640 1804 1886 2024 2255 2530 3608 3772 4510 4715 5060 7544 9020 9430 10120 10181 10373 18040 18860 20362 20746 37720 40724 41492 50905 51865 81448 82984 101810 103730 111991 203620 207460 223982 234163 407240 414920 417421 447964 468326 559955 834842 895928 936652 1119910 1170815 1669684 1873304 2087105 2239820 2341630 2575793 3339368 4174210 4479640 4591631 4683260 5151586 8348420 9183262 9366520 9600683 10303172 12878965 16696840 18366524 19201366 20606344 22958155 25757930 36733048 38402732 45916310 48003415 51515860 76805464 91832620 96006830 103031720 105607513 183665240 192013660 211215026 384027320 422430052 528037565 844860104 1056075130 2112150260 4224300520