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81223674 = 2372431641
BaseRepresentation
bin1001101011101…
…01111111111010
312122211120221020
410311311333322
5131243124144
612020523310
72004250500
oct465657772
9178746836
1081223674
1141937604
1223250536
1313a9b35c
14ab04670
1571e6419
hex4d75ffa

81223674 has 48 divisors (see below), whose sum is σ = 189703296. Its totient is φ = 23116800.

The previous prime is 81223663. The next prime is 81223687. The reversal of 81223674 is 47632218.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126394 + ... + 127034.

It is an arithmetic number, because the mean of its divisors is an integer number (3952152).

Almost surely, 281223674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81223674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94851648).

81223674 is an abundant number, since it is smaller than the sum of its proper divisors (108479622).

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

81223674 is a wasteful number, since it uses less digits than its factorization.

81223674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1084 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 81223674 is about 9012.4177666151. The cubic root of 81223674 is about 433.0727689287.

The spelling of 81223674 in words is "eighty-one million, two hundred twenty-three thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 431 641 862 1282 1293 1923 2586 3017 3846 4487 6034 8974 9051 13461 18102 21119 26922 31409 42238 62818 63357 94227 126714 188454 276271 552542 828813 1657626 1933897 3867794 5801691 11603382 13537279 27074558 40611837 81223674