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4213224 = 2332163359
BaseRepresentation
bin10000000100100111101000
321221001110100
4100010213220
52034310344
6230145400
750545311
oct20044750
97831410
104213224
112418504
1214b2260
13b46942
147b9608
15583569
hex4049e8

4213224 has 48 divisors (see below), whose sum is σ = 11512800. Its totient is φ = 1391904.

The previous prime is 4213217. The next prime is 4213277. The reversal of 4213224 is 4223124.

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.

It is a junction number, because it is equal to n+sod(n) for n = 4213197 and 4213206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11557 + ... + 11915.

It is an arithmetic number, because the mean of its divisors is an integer number (239850).

Almost surely, 24213224 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 4213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756400).

4213224 is an abundant number, since it is smaller than the sum of its proper divisors (7299576).

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

4213224 is a wasteful number, since it uses less digits than its factorization.

4213224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

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

The square root of 4213224 is about 2052.6139432441. The cubic root of 4213224 is about 161.5120203714.

Adding to 4213224 its reverse (4223124), we get a palindrome (8436348).

The spelling of 4213224 in words is "four million, two hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 359 489 652 718 978 1077 1304 1436 1467 1956 2154 2872 2934 3231 3912 4308 5868 6462 8616 11736 12924 25848 58517 117034 175551 234068 351102 468136 526653 702204 1053306 1404408 2106612 4213224