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81820422 = 23317194691
BaseRepresentation
bin1001110000001…
…11101100000110
312200221220112000
410320013230012
5131421223142
612041410130
72012314335
oct470075406
9180856460
1081820422
1142204992
1223499946
1313c49b68
14ac1bd1c
1572b314c
hex4e07b06

81820422 has 64 divisors (see below), whose sum is σ = 202694400. Its totient is φ = 24312960.

The previous prime is 81820421. The next prime is 81820423. The reversal of 81820422 is 22402818.

It is an interprime number because it is at equal distance from previous prime (81820421) and next prime (81820423).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81820421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15097 + ... + 19787.

It is an arithmetic number, because the mean of its divisors is an integer number (3167100).

Almost surely, 281820422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81820422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101347200).

81820422 is an abundant number, since it is smaller than the sum of its proper divisors (120873978).

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

81820422 is a wasteful number, since it uses less digits than its factorization.

81820422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 81820422 is about 9045.4641671945. The cubic root of 81820422 is about 434.1307731662.

The spelling of 81820422 in words is "eighty-one million, eight hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 4691 5814 8721 9382 14073 17442 28146 42219 79747 84438 89129 126657 159494 178258 239241 253314 267387 478482 534774 717723 802161 1435446 1515193 1604322 2153169 2406483 3030386 4306338 4545579 4812966 9091158 13636737 27273474 40910211 81820422