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4222344 = 233741613
BaseRepresentation
bin10000000110110110001000
321221111222010
4100012312020
52040103334
6230255520
750614020
oct20066610
97844863
104222344
112424345
1214b75a0
13b4ab39
147bca80
155860e9
hex406d88

4222344 has 64 divisors (see below), whose sum is σ = 12378240. Its totient is φ = 1175040.

The previous prime is 4222343. The next prime is 4222367. The reversal of 4222344 is 4432224.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4222344.

It is not an unprimeable number, because it can be changed into a prime (4222343) 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, 6582 + ... + 7194.

It is an arithmetic number, because the mean of its divisors is an integer number (193410).

Almost surely, 24222344 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 4222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189120).

4222344 is an abundant number, since it is smaller than the sum of its proper divisors (8155896).

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

4222344 is a wasteful number, since it uses less digits than its factorization.

4222344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its digits is 1536, while the sum is 21.

The square root of 4222344 is about 2054.8342998889. The cubic root of 4222344 is about 161.6284733999.

Adding to 4222344 its reverse (4432224), we get a palindrome (8654568).

The spelling of 4222344 in words is "four million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 613 861 984 1148 1226 1722 1839 2296 2452 3444 3678 4291 4904 6888 7356 8582 12873 14712 17164 25133 25746 34328 50266 51492 75399 100532 102984 150798 175931 201064 301596 351862 527793 603192 703724 1055586 1407448 2111172 4222344