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4023012224 = 27711715749
BaseRepresentation
bin1110111111001010…
…0100101110000000
3101101101000012021202
43233302210232000
531214342342344
61503111040332
7201460016420
oct35762445600
911341005252
104023012224
1117849816a0
129433700a8
134c161ac0a
142a2424480
151882bd94e
hexefca4b80

4023012224 has 128 divisors (see below), whose sum is σ = 10134720000. Its totient is φ = 1545062400.

The previous prime is 4023012199. The next prime is 4023012229. The reversal of 4023012224 is 4222103204.

4023012224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4023012196 and 4023012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023012229) 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, 696902 + ... + 702650.

It is an arithmetic number, because the mean of its divisors is an integer number (79177500).

Almost surely, 24023012224 is an apocalyptic number.

4023012224 is a gapful number since it is divisible by the number (44) 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 4023012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067360000).

4023012224 is an abundant number, since it is smaller than the sum of its proper divisors (6111707776).

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

4023012224 is a wasteful number, since it uses less digits than its factorization.

4023012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4023012224 is about 63427.2198980848. The cubic root of 4023012224 is about 1590.4393685761.

Adding to 4023012224 its reverse (4222103204), we get a palindrome (8245115428).

The spelling of 4023012224 in words is "four billion, twenty-three million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 71 77 88 112 128 142 154 176 224 284 308 352 448 497 568 616 704 781 896 994 1136 1232 1408 1562 1988 2272 2464 3124 3976 4544 4928 5467 5749 6248 7952 9088 9856 10934 11498 12496 15904 21868 22996 24992 31808 40243 43736 45992 49984 63239 63616 80486 87472 91984 99968 126478 160972 174944 183968 252956 321944 349888 367936 408179 442673 505912 643888 699776 735872 816358 885346 1011824 1287776 1632716 1770692 2023648 2575552 2857253 3265432 3541384 4047296 4489969 5151104 5714506 6530864 7082768 8094592 8979938 11429012 13061728 14165536 17959876 22858024 26123456 28331072 31429783 35919752 45716048 52246912 56662144 62859566 71839504 91432096 125719132 143679008 182864192 251438264 287358016 365728384 502876528 574716032 1005753056 2011506112 4023012224