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4222112224 = 251111994637
BaseRepresentation
bin1111101110101000…
…0101000111100000
3101220020122112010211
43323222011013200
532121330042344
61534542303504
7206425235041
oct37352050740
911806575124
104222112224
1118772aa450
12999b87b94
1352394b675
142c0a508c8
1519a9eb334
hexfba851e0

4222112224 has 24 divisors (see below), whose sum is σ = 9067946328. Its totient is φ = 1919141760.

The previous prime is 4222112221. The next prime is 4222112273.

4222112224 is nontrivially palindromic in base 10.

4222112224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 = 4222112195 and 4222112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222112221) 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, 5996967 + ... + 5997670.

It is an arithmetic number, because the mean of its divisors is an integer number (377831097).

Almost surely, 24222112224 is an apocalyptic number.

4222112224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4222112224 is an abundant number, since it is smaller than the sum of its proper divisors (4845834104).

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

4222112224 is a wasteful number, since it uses less digits than its factorization.

4222112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11994658 (or 11994650 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 4222112224 is about 64977.7825414195. The cubic root of 4222112224 is about 1616.2551593630.

It can be divided in two parts, 42221 and 12224, that added together give a palindrome (54445).

The spelling of 4222112224 in words is "four billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 11994637 23989274 47978548 95957096 131941007 191914192 263882014 383828384 527764028 1055528056 2111056112 4222112224