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81035226 = 232171371933
BaseRepresentation
bin1001101010001…
…11111111011010
312122111000102200
410311013333122
5131221111401
612012511030
72002534206
oct465077732
9178430380
1081035226
1141818a68
122317b476
1313a3364c
14aa95b06
1571aa686
hex4d47fda

81035226 has 48 divisors (see below), whose sum is σ = 187358184. Its totient is φ = 25224192.

The previous prime is 81035221. The next prime is 81035237. The reversal of 81035226 is 62253018.

It can be written as a sum of positive squares in 4 ways, for example, as 80084601 + 950625 = 8949^2 + 975^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 81035226.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81035221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40956 + ... + 42888.

Almost surely, 281035226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81035226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93679092).

81035226 is an abundant number, since it is smaller than the sum of its proper divisors (106322958).

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

81035226 is a wasteful number, since it uses less digits than its factorization.

81035226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 81035226 is about 9001.9567872769. The cubic root of 81035226 is about 432.7375838334.

The spelling of 81035226 in words is "eighty-one million, thirty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 306 411 822 1233 1933 2329 2466 3866 4658 5799 6987 11598 13974 17397 20961 32861 34794 41922 65722 98583 197166 264821 295749 529642 591498 794463 1588926 2383389 4501957 4766778 9003914 13505871 27011742 40517613 81035226