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4220220224 = 26115994631
BaseRepresentation
bin1111101110001011…
…0111001101000000
3101220010002101210202
43323202313031000
532120334021344
61534433544332
7206403165023
oct37342671500
911803071722
104220220224
111876227a10
129994150a8
1352343843c
142c06bb1ba
1519a77594e
hexfb8b7340

4220220224 has 28 divisors (see below), whose sum is σ = 9135819168. Its totient is φ = 1918281600.

The previous prime is 4220220223. The next prime is 4220220239.

4220220224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42202202242 = 35620517478117220352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4220220196 and 4220220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2996612 + ... + 2998019.

It is an arithmetic number, because the mean of its divisors is an integer number (326279256).

Almost surely, 24220220224 is an apocalyptic number.

4220220224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4220220224 is an abundant number, since it is smaller than the sum of its proper divisors (4915598944).

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

4220220224 is a wasteful number, since it uses less digits than its factorization.

4220220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994654 (or 5994644 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4220220224 is about 64963.2220875781. Note that the first 3 decimals coincide. The cubic root of 4220220224 is about 1616.0136995212.

It can be divided in two parts, 42202 and 20224, that added together give a palindrome (62426).

The spelling of 4220220224 in words is "four billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 5994631 11989262 23978524 47957048 65940941 95914096 131881882 191828192 263763764 383656384 527527528 1055055056 2110110112 4220220224