Search a number
-
+
1000412226 = 2321117217483
BaseRepresentation
bin111011101000010…
…001010001000010
32120201110012120200
4323220101101002
54022101142401
6243134150030
733535235502
oct7350212102
92521405520
101000412226
11473785570
1223b052316
1312c3529c8
1496c17a02
155cc63686
hex3ba11442

1000412226 has 72 divisors (see below), whose sum is σ = 2512031184. Its totient is φ = 285306240.

The previous prime is 1000412213. The next prime is 1000412227. The reversal of 1000412226 is 6222140001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000412199 and 1000412208.

It is not an unprimeable number, because it can be changed into a prime (1000412227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48481 + ... + 65963.

It is an arithmetic number, because the mean of its divisors is an integer number (34889322).

Almost surely, 21000412226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000412226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256015592).

1000412226 is an abundant number, since it is smaller than the sum of its proper divisors (1511618958).

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

1000412226 is a wasteful number, since it uses less digits than its factorization.

1000412226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17536 (or 17516 counting only the distinct ones).

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

The square root of 1000412226 is about 31629.2937954675. The cubic root of 1000412226 is about 1000.1373897898.

Adding to 1000412226 its reverse (6222140001), we get a palindrome (7222552227).

The spelling of 1000412226 in words is "one billion, four hundred twelve thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 289 306 374 561 578 867 1122 1683 1734 2601 3179 3366 5202 6358 9537 17483 19074 28611 34966 52449 57222 104898 157347 192313 297211 314694 384626 576939 594422 891633 1153878 1730817 1783266 2674899 3269321 3461634 5052587 5349798 6538642 9807963 10105174 15157761 19615926 29423889 30315522 45473283 55578457 58847778 90946566 111156914 166735371 333470742 500206113 1000412226