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81422000 = 2453113701
BaseRepresentation
bin1001101101001…
…10011010110000
312200012122222122
410312212122300
5131321001000
612025053412
72006034632
oct466463260
9180178878
1081422000
1141a62610
1223327268
1313b3a6ca
14ab56a52
157235085
hex4da66b0

81422000 has 80 divisors (see below), whose sum is σ = 214834464. Its totient is φ = 29600000.

The previous prime is 81421987. The next prime is 81422009. The reversal of 81422000 is 22418.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 81422000.

It is not an unprimeable number, because it can be changed into a prime (81422009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20150 + ... + 23850.

Almost surely, 281422000 is an apocalyptic number.

81422000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107417232).

81422000 is an abundant number, since it is smaller than the sum of its proper divisors (133412464).

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

81422000 is a wasteful number, since it uses less digits than its factorization.

81422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 81422000 is about 9023.4139880646. The cubic root of 81422000 is about 433.4249641862.

Adding to 81422000 its reverse (22418), we get a palindrome (81444418).

The spelling of 81422000 in words is "eighty-one million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 3701 4400 5500 7402 11000 14804 18505 22000 29608 37010 40711 59216 74020 81422 92525 148040 162844 185050 203555 296080 325688 370100 407110 462625 651376 740200 814220 925250 1017775 1480400 1628440 1850500 2035550 3256880 3701000 4071100 5088875 7402000 8142200 10177750 16284400 20355500 40711000 81422000