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1086443226 = 2331123281283
BaseRepresentation
bin100000011000001…
…1100111011011010
32210201100000221000
41000300130323122
54211112140401
6255450125430
735631420651
oct10060347332
92721300830
101086443226
115082a5970
12263a20876
1314411521b
14a4410198
15655a9186
hex40c1ceda

1086443226 has 128 divisors (see below), whose sum is σ = 2767841280. Its totient is φ = 312681600.

The previous prime is 1086443219. The next prime is 1086443227. The reversal of 1086443226 is 6223446801.

1086443226 is a `hidden beast` number, since 1 + 0 + 8 + 644 + 3 + 2 + 2 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1086443227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3838881 + ... + 3839163.

It is an arithmetic number, because the mean of its divisors is an integer number (21623760).

Almost surely, 21086443226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086443226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383920640).

1086443226 is an abundant number, since it is smaller than the sum of its proper divisors (1681398054).

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

1086443226 is a wasteful number, since it uses less digits than its factorization.

1086443226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1086443226 is about 32961.2382352362. The cubic root of 1086443226 is about 1028.0218501061.

The spelling of 1086443226 in words is "one billion, eighty-six million, four hundred forty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 281 283 297 414 506 562 566 594 621 759 843 849 1242 1518 1686 1698 2277 2529 2547 3091 3113 4554 5058 5094 6182 6226 6463 6509 6831 7587 7641 9273 9339 12926 13018 13662 15174 15282 18546 18678 19389 19527 27819 28017 38778 39054 55638 56034 58167 58581 71093 71599 79523 83457 84051 116334 117162 142186 143198 159046 166914 168102 174501 175743 213279 214797 238569 349002 351486 426558 429594 477138 639837 644391 715707 874753 1279674 1288782 1431414 1749506 1829029 1919511 1933173 2147121 2624259 3658058 3839022 3866346 4294242 5248518 5487087 7872777 10974174 15745554 16461261 20119319 23618331 32922522 40238638 47236662 49383783 60357957 98767566 120715914 181073871 362147742 543221613 1086443226