Search a number
-
+
4224426900 = 22352173761367
BaseRepresentation
bin1111101111001011…
…1010001110010100
3101220102000010021120
43323302322032110
532122423130100
61535104043540
7206454015261
oct37362721624
911812003246
104224426900
111878640501
1299a9035b0
1352427c0b5
142c1094268
1519ad070a0
hexfbcba394

4224426900 has 288 divisors, whose sum is σ = 13546132992. Its totient is φ = 1011916800.

The previous prime is 4224426893. The next prime is 4224426929. The reversal of 4224426900 is 96244224.

It is a super-2 number, since 2×42244269002 = 35691565266887220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11510517 + ... + 11510883.

It is an arithmetic number, because the mean of its divisors is an integer number (47035184).

Almost surely, 24224426900 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 4224426900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773066496).

4224426900 is an abundant number, since it is smaller than the sum of its proper divisors (9321706092).

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

4224426900 is a wasteful number, since it uses less digits than its factorization.

4224426900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4224426900 is about 64995.5913889550. The cubic root of 4224426900 is about 1616.5504636544.

The spelling of 4224426900 in words is "four billion, two hundred twenty-four million, four hundred twenty-six thousand, nine hundred".