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4221434868 = 2237211296359
BaseRepresentation
bin1111101110011101…
…1111101111110100
3101220012101002222120
43323213133233310
532121141403433
61534515555540
7206416414200
oct37347375764
911805332876
104221434868
111876987552
129998bbbb0
13523772271
142c0915b00
1519a9157b3
hexfb9dfbf4

4221434868 has 72 divisors (see below), whose sum is σ = 11470132800. Its totient is φ = 1204866432.

The previous prime is 4221434831. The next prime is 4221434923. The reversal of 4221434868 is 8684341224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660673 + ... + 667031.

It is an arithmetic number, because the mean of its divisors is an integer number (159307400).

Almost surely, 24221434868 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 4221434868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735066400).

4221434868 is an abundant number, since it is smaller than the sum of its proper divisors (7248697932).

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

4221434868 is a wasteful number, since it uses less digits than its factorization.

4221434868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7509 (or 7500 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 4221434868 is about 64972.5701200130. The cubic root of 4221434868 is about 1616.1687224784.

The spelling of 4221434868 in words is "four billion, two hundred twenty-one million, four hundred thirty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1129 2258 3387 4516 6359 6774 7903 12718 13548 15806 19077 23709 25436 31612 38154 44513 47418 55321 76308 89026 94836 110642 133539 165963 178052 221284 267078 311591 331926 534156 623182 663852 934773 1246364 1869546 3739092 7179311 14358622 21537933 28717244 43075866 50255177 86151732 100510354 150765531 201020708 301531062 351786239 603062124 703572478 1055358717 1407144956 2110717434 4221434868