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2131850286 = 233178997269
BaseRepresentation
bin111111100010001…
…0111010000101110
312111120110012211000
41333010113100232
513331223202121
6551312541130
7103554266646
oct17704272056
95446405730
102131850286
119a4412745
124b5b517a6
1327c890097
141631bb526
15c7259526
hex7f11742e

2131850286 has 128 divisors (see below), whose sum is σ = 5143824000. Its totient is φ = 652050432.

The previous prime is 2131850267. The next prime is 2131850311. The reversal of 2131850286 is 6820581312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2131850286.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7924960 + ... + 7925228.

It is an arithmetic number, because the mean of its divisors is an integer number (40186125).

Almost surely, 22131850286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131850286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571912000).

2131850286 is an abundant number, since it is smaller than the sum of its proper divisors (3011973714).

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

2131850286 is a wasteful number, since it uses less digits than its factorization.

2131850286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2131850286 is about 46171.9642857005. The cubic root of 2131850286 is about 1287.0208048104.

The spelling of 2131850286 in words is "two billion, one hundred thirty-one million, eight hundred fifty thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 89 97 102 153 178 194 267 269 291 306 459 534 538 582 801 807 873 918 1513 1602 1614 1649 1746 2403 2421 2619 3026 3298 4539 4573 4806 4842 4947 5238 7263 8633 9078 9146 9894 13617 13719 14526 14841 17266 23941 25899 26093 27234 27438 29682 40851 41157 44523 47882 51798 52186 71823 77697 78279 81702 82314 89046 123471 143646 146761 155394 156558 215469 233091 234837 246942 293522 406997 430938 440283 443581 466182 469674 646407 704511 813994 880566 887162 1220991 1292814 1320849 1330743 1409022 2322277 2441982 2641698 2661486 3662973 3962547 3992229 4644554 6966831 7325946 7925094 7984458 10988919 11976687 13933662 20900493 21977838 23953374 39478709 41800986 62701479 78957418 118436127 125402958 236872254 355308381 710616762 1065925143 2131850286