Search a number
-
+
4102224 = 243729421
BaseRepresentation
bin1111101001100001010000
321201102012020
433221201100
52022232344
6223531440
746603560
oct17514120
97642166
104102224
112352075
121459b80
13b08269
1478ada0
15560719
hex3e9850

4102224 has 80 divisors (see below), whose sum is σ = 12558720. Its totient is φ = 1128960.

The previous prime is 4102223. The next prime is 4102229. The reversal of 4102224 is 4222014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102223) 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, 9534 + ... + 9954.

It is an arithmetic number, because the mean of its divisors is an integer number (156984).

Almost surely, 24102224 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 4102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279360).

4102224 is an abundant number, since it is smaller than the sum of its proper divisors (8456496).

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

4102224 is a wasteful number, since it uses less digits than its factorization.

4102224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4102224 is about 2025.3947763337. The cubic root of 4102224 is about 160.0810006528.

Adding to 4102224 its reverse (4222014), we get a palindrome (8324238).

The spelling of 4102224 in words is "four million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 421 464 609 696 812 842 1218 1263 1392 1624 1684 2436 2526 2947 3248 3368 4872 5052 5894 6736 8841 9744 10104 11788 12209 17682 20208 23576 24418 35364 36627 47152 48836 70728 73254 85463 97672 141456 146508 170926 195344 256389 293016 341852 512778 586032 683704 1025556 1367408 2051112 4102224