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4220330224 = 241123979149
BaseRepresentation
bin1111101110001101…
…0010000011110000
3101220010021222200211
43323203102003300
532120401031344
61534440153504
7206404133515
oct37343220360
911803258624
104220330224
1118762a2620
12999468894
13523476526
142c070930c
1519a798334
hexfb8d20f0

4220330224 has 20 divisors (see below), whose sum is σ = 8920243800. Its totient is φ = 1918331840.

The previous prime is 4220330221. The next prime is 4220330327.

4220330224 is nontrivially palindromic in base 10.

4220330224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42203302242 = 35622374399215780352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4220330195 and 4220330204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220330221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11989399 + ... + 11989750.

It is an arithmetic number, because the mean of its divisors is an integer number (446012190).

Almost surely, 24220330224 is an apocalyptic number.

4220330224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4220330224 is an abundant number, since it is smaller than the sum of its proper divisors (4699913576).

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

4220330224 is a wasteful number, since it uses less digits than its factorization.

4220330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23979168 (or 23979162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4220330224 is about 64964.0687149443. The cubic root of 4220330224 is about 1616.0277398597.

It can be divided in two parts, 42203 and 30224, that added together give a palindrome (72427).

The spelling of 4220330224 in words is "four billion, two hundred twenty million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 23979149 47958298 95916596 191833192 263770639 383666384 527541278 1055082556 2110165112 4220330224