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81968922 = 234741243
BaseRepresentation
bin1001110001010…
…11111100011010
312201020110020000
410320223330122
5131441001142
612044513430
72013503310
oct470537432
9181213200
1081968922
11422a6512
122354b876
1313c9c629
14ac5a0b0
1572e214c
hex4e2bf1a

81968922 has 120 divisors (see below), whose sum is σ = 220158048. Its totient is φ = 22317120.

The previous prime is 81968903. The next prime is 81968989. The reversal of 81968922 is 22986918.

Its product of digits (124416) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1906233 + ... + 1906275.

Almost surely, 281968922 is an apocalyptic number.

81968922 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 81968922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110079024).

81968922 is an abundant number, since it is smaller than the sum of its proper divisors (138189126).

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

81968922 is a wasteful number, since it uses less digits than its factorization.

81968922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 81968922 is about 9053.6689800323. The cubic root of 81968922 is about 434.3932563588.

The spelling of 81968922 in words is "eighty-one million, nine hundred sixty-eight thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 43 54 63 81 82 86 123 126 129 162 189 246 258 287 301 369 378 387 567 574 602 738 774 861 903 1107 1134 1161 1681 1722 1763 1806 2214 2322 2583 2709 3321 3362 3483 3526 5043 5166 5289 5418 6642 6966 7749 8127 10086 10578 11767 12341 15129 15498 15867 16254 23247 23534 24381 24682 30258 31734 35301 37023 45387 46494 47601 48762 70602 72283 74046 90774 95202 105903 111069 136161 142803 144566 211806 216849 222138 272322 285606 317709 333207 433698 505981 635418 650547 666414 953127 999621 1011962 1301094 1517943 1906254 1951641 1999242 3035886 3903282 4553829 5854923 9107658 11709846 13661487 27322974 40984461 81968922