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4220224 = 26234761
BaseRepresentation
bin10000000110010101000000
321221102001121
4100012111000
52040021344
6230242024
750604601
oct20062500
97842047
104220224
112422798
1214b6314
13b49b98
147bbda8
15585684
hex406540

4220224 has 56 divisors (see below), whose sum is σ = 9070848. Its totient is φ = 1943040.

The previous prime is 4220207. The next prime is 4220239.

4220224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42202242 = 35620581220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 43 + 210 + 213 + 0 + 214 + 222 + 44 .

It is a junction number, because it is equal to n+sod(n) for n = 4220198 and 4220207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69154 + ... + 69214.

Almost surely, 24220224 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 4220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535424).

4220224 is an abundant number, since it is smaller than the sum of its proper divisors (4850624).

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

4220224 is a wasteful number, since it uses less digits than its factorization.

4220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4220224 is about 2054.3183784409. The cubic root of 4220224 is about 161.6014181492.

It can be divided in two parts, 4220 and 224, that added together give a palindrome (4444).

The spelling of 4220224 in words is "four million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 47 61 64 92 94 122 184 188 244 368 376 488 736 752 976 1081 1403 1472 1504 1952 2162 2806 2867 3008 3904 4324 5612 5734 8648 11224 11468 17296 22448 22936 34592 44896 45872 65941 69184 89792 91744 131882 183488 263764 527528 1055056 2110112 4220224