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4230212224 = 27726917551
BaseRepresentation
bin1111110000100011…
…1110101010000000
3101220210220001020211
43330020332222000
532130413242344
61535432043504
7206554132150
oct37410765200
911823801224
104230212224
111880932067
129a0833594
13525526474
142c1b5c760
1519b59b334
hexfc23ea80

4230212224 has 64 divisors (see below), whose sum is σ = 9667641600. Its totient is φ = 1806105600.

The previous prime is 4230212219. The next prime is 4230212227. The reversal of 4230212224 is 4222120324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4230212195 and 4230212204.

It is not an unprimeable number, because it can be changed into a prime (4230212227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232249 + ... + 249799.

It is an arithmetic number, because the mean of its divisors is an integer number (151056900).

Almost surely, 24230212224 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 4230212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833820800).

4230212224 is an abundant number, since it is smaller than the sum of its proper divisors (5437429376).

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

4230212224 is a wasteful number, since it uses less digits than its factorization.

4230212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17841 (or 17829 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4230212224 is about 65040.0816727654. The cubic root of 4230212224 is about 1617.2880786708.

Adding to 4230212224 its reverse (4222120324), we get a palindrome (8452332548).

The spelling of 4230212224 in words is "four billion, two hundred thirty million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 269 448 538 896 1076 1883 2152 3766 4304 7532 8608 15064 17216 17551 30128 34432 35102 60256 70204 120512 122857 140408 241024 245714 280816 491428 561632 982856 1123264 1965712 2246528 3931424 4721219 7862848 9442438 15725696 18884876 33048533 37769752 66097066 75539504 132194132 151079008 264388264 302158016 528776528 604316032 1057553056 2115106112 4230212224