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4221542430 = 232579417121
BaseRepresentation
bin1111101110011111…
…1010000000011110
3101220012120120112100
43323213322000132
532121203324210
61534522145530
7206420342610
oct37347720036
911805516470
104221542430
111876a50346
129999522a6
135237ac201
142c0942db0
1519a9375c0
hexfb9fa01e

4221542430 has 96 divisors (see below), whose sum is σ = 12559105728. Its totient is φ = 963763200.

The previous prime is 4221542401. The next prime is 4221542443. The reversal of 4221542430 is 342451224.

4221542430 is a `hidden beast` number, since 4 + 221 + 5 + 4 + 2 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4221542394 and 4221542403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589270 + ... + 596390.

It is an arithmetic number, because the mean of its divisors is an integer number (130824018).

Almost surely, 24221542430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221542430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279552864).

4221542430 is an abundant number, since it is smaller than the sum of its proper divisors (8337563298).

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

4221542430 is a wasteful number, since it uses less digits than its factorization.

4221542430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4221542430 is about 64973.3978640489. The cubic root of 4221542430 is about 1616.1824490010.

Adding to 4221542430 its reverse (342451224), we get a palindrome (4563993654).

The spelling of 4221542430 in words is "four billion, two hundred twenty-one million, five hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 941 1882 2823 4705 5646 6587 7121 8469 9410 13174 14115 14242 16938 19761 21363 28230 32935 35605 39522 42345 42726 49847 59283 64089 65870 71210 84690 98805 99694 106815 118566 128178 149541 197610 213630 249235 296415 299082 320445 448623 498470 592830 640890 747705 897246 1495410 2243115 4486230 6700861 13401722 20102583 33504305 40205166 46906027 60307749 67008610 93812054 100512915 120615498 140718081 201025830 234530135 281436162 301538745 422154243 469060270 603077490 703590405 844308486 1407180810 2110771215 4221542430