Search a number
-
+
4221211230 = 2325374213011
BaseRepresentation
bin1111101110011010…
…1001001001011110
3101220011221202012200
43323212221021132
532121112224410
61534511112330
7206414463165
oct37346511136
911804852180
104221211230
111876844525
129998126a6
135236c4532
142c08983dc
1519a8be3c0
hexfb9a925e

4221211230 has 96 divisors (see below), whose sum is σ = 11302301088. Its totient is φ = 1092268800.

The previous prime is 4221211219. The next prime is 4221211237. The reversal of 4221211230 is 321121224.

It is a happy number.

4221211230 is a `hidden beast` number, since 4 + 221 + 211 + 230 = 666.

It is a super-2 number, since 2×42212112302 = 35637248496556225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221211237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400425 + ... + 1403435.

It is an arithmetic number, because the mean of its divisors is an integer number (117732303).

Almost surely, 24221211230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4221211230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651150544).

4221211230 is an abundant number, since it is smaller than the sum of its proper divisors (7081089858).

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

4221211230 is a wasteful number, since it uses less digits than its factorization.

4221211230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4221211230 is about 64970.8490786445. The cubic root of 4221211230 is about 1616.1401821728.

Adding to 4221211230 its reverse (321121224), we get a palindrome (4542332454).

The spelling of 4221211230 in words is "four billion, two hundred twenty-one million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 421 555 666 842 1110 1263 1665 2105 2526 3011 3330 3789 4210 6022 6315 7578 9033 12630 15055 15577 18066 18945 27099 30110 31154 37890 45165 46731 54198 77885 90330 93462 111407 135495 140193 155770 222814 233655 270990 280386 334221 467310 557035 668442 700965 1002663 1114070 1267631 1401930 1671105 2005326 2535262 3342210 3802893 5013315 6338155 7605786 10026630 11408679 12676310 19014465 22817358 38028930 46902347 57043395 93804694 114086790 140707041 234511735 281414082 422121123 469023470 703535205 844242246 1407070410 2110605615 4221211230