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4224216 = 233376771
BaseRepresentation
bin10000000111010011011000
321221121112110
4100013103120
52040133331
6230312320
750622333
oct20072330
97847473
104224216
112425797
1214b86a0
13b4b949
147bd61a
15586946
hex4074d8

4224216 has 64 divisors (see below), whose sum is σ = 11162880. Its totient is φ = 1330560.

The previous prime is 4224197. The next prime is 4224229. The reversal of 4224216 is 6124224.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4224192 and 4224201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59461 + ... + 59531.

It is an arithmetic number, because the mean of its divisors is an integer number (174420).

Almost surely, 24224216 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 4224216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581440).

4224216 is an abundant number, since it is smaller than the sum of its proper divisors (6938664).

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

4224216 is a wasteful number, since it uses less digits than its factorization.

4224216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 4224216 is about 2055.2897605934. The cubic root of 4224216 is about 161.6523561688.

The spelling of 4224216 in words is "four million, two hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 67 71 74 111 134 142 148 201 213 222 268 284 296 402 426 444 536 568 804 852 888 1608 1704 2479 2627 4757 4958 5254 7437 7881 9514 9916 10508 14271 14874 15762 19028 19832 21016 28542 29748 31524 38056 57084 59496 63048 114168 176009 352018 528027 704036 1056054 1408072 2112108 4224216