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4224410334 = 234199714149
BaseRepresentation
bin1111101111001011…
…0110001011011110
3101220101222021120000
43323302312023132
532122422112314
61535103435130
7206453616054
oct37362661336
911811867500
104224410334
11187862a011
1299a8b5aa6
135242746b1
142c108c1d4
1519ad02209
hexfbcb62de

4224410334 has 80 divisors (see below), whose sum is σ = 10067442000. Its totient is φ = 1320178176.

The previous prime is 4224410329. The next prime is 4224410341. The reversal of 4224410334 is 4330144224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4224410298 and 4224410307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291492 + ... + 305640.

It is an arithmetic number, because the mean of its divisors is an integer number (125843025).

Almost surely, 24224410334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224410334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033721000).

4224410334 is an abundant number, since it is smaller than the sum of its proper divisors (5843031666).

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

4224410334 is a wasteful number, since it uses less digits than its factorization.

4224410334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279 (or 14270 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4224410334 is about 64995.4639494173. The cubic root of 4224410334 is about 1616.5483505623.

Adding to 4224410334 its reverse (4330144224), we get a palindrome (8554554558).

The spelling of 4224410334 in words is "four billion, two hundred twenty-four million, four hundred ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 97 114 162 171 194 291 342 513 582 873 1026 1539 1746 1843 2619 3078 3686 5238 5529 7857 11058 14149 15714 16587 28298 33174 42447 49761 84894 99522 127341 149283 254682 268831 298566 382023 537662 764046 806493 1146069 1372453 1612986 2292138 2419479 2744906 4117359 4838958 7258437 8234718 12352077 14516874 21775311 24704154 26076607 37056231 43550622 52153214 74112462 78229821 111168693 156459642 222337386 234689463 469378926 704068389 1408136778 2112205167 4224410334