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4221323340 = 223513371071367
BaseRepresentation
bin1111101110011100…
…0100100001001100
3101220012011102222220
43323213010201030
532121124321330
61534513335340
7206415441063
oct37347044114
911805142886
104221323340
111876910783
12999867550
13523733580
142c08c71da
1519a8e2710
hexfb9c484c

4221323340 has 192 divisors, whose sum is σ = 13204767744. Its totient is φ = 1000829952.

The previous prime is 4221323291. The next prime is 4221323401. The reversal of 4221323340 is 433231224.

4221323340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4221323340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3087337 + ... + 3088703.

It is an arithmetic number, because the mean of its divisors is an integer number (68774832).

Almost surely, 24221323340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602383872).

4221323340 is an abundant number, since it is smaller than the sum of its proper divisors (8983444404).

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

4221323340 is a wasteful number, since it uses less digits than its factorization.

4221323340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4221323340 is about 64971.7118444635. The cubic root of 4221323340 is about 1616.1544895886.

Adding to 4221323340 its reverse (433231224), we get a palindrome (4654554564).

The spelling of 4221323340 in words is "four billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred forty".