Search a number
-
+
4223412 = 22321767103
BaseRepresentation
bin10000000111000110110100
321221120102200
4100013012310
52040122122
6230304500
750620104
oct20070664
97846380
104223412
112425126
1214b8130
13b4b47b
147bd204
155865ac
hex4071b4

4223412 has 72 divisors (see below), whose sum is σ = 11583936. Its totient is φ = 1292544.

The previous prime is 4223407. The next prime is 4223413. The reversal of 4223412 is 2143224.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

Its product of digits (384) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40953 + ... + 41055.

It is an arithmetic number, because the mean of its divisors is an integer number (160888).

Almost surely, 24223412 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 4223412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791968).

4223412 is an abundant number, since it is smaller than the sum of its proper divisors (7360524).

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

4223412 is a wasteful number, since it uses less digits than its factorization.

4223412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 4223412 is about 2055.0941584268. The cubic root of 4223412 is about 161.6420996904.

Adding to 4223412 its reverse (2143224), we get a palindrome (6366636).

The spelling of 4223412 in words is "four million, two hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 103 134 153 201 204 206 268 306 309 402 412 603 612 618 804 927 1139 1206 1236 1751 1854 2278 2412 3417 3502 3708 4556 5253 6834 6901 7004 10251 10506 13668 13802 15759 20502 20703 21012 27604 31518 41004 41406 62109 63036 82812 117317 124218 234634 248436 351951 469268 703902 1055853 1407804 2111706 4223412