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22042000 = 2453103107
BaseRepresentation
bin101010000010…
…1010110010000
31112110211221101
41110011112100
521120321000
62104234144
7355232251
oct124052620
945424841
1022042000
1111495532
12746b954
134749a06
142cdab28
151e05e6a
hex1505590

22042000 has 80 divisors (see below), whose sum is σ = 54317952. Its totient is φ = 8649600.

The previous prime is 22041997. The next prime is 22042003. The reversal of 22042000 is 24022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22041997) and next prime (22042003).

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22042003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205947 + ... + 206053.

Almost surely, 222042000 is an apocalyptic number.

22042000 is a gapful number since it is divisible by the number (20) 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 22042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158976).

22042000 is an abundant number, since it is smaller than the sum of its proper divisors (32275952).

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

22042000 is a wasteful number, since it uses less digits than its factorization.

22042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 22042000 is about 4694.8908400516. The cubic root of 22042000 is about 280.3821313085.

Adding to 22042000 its reverse (24022), we get a palindrome (22066022).

The spelling of 22042000 in words is "twenty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 107 125 200 206 214 250 400 412 428 500 515 535 824 856 1000 1030 1070 1648 1712 2000 2060 2140 2575 2675 4120 4280 5150 5350 8240 8560 10300 10700 11021 12875 13375 20600 21400 22042 25750 26750 41200 42800 44084 51500 53500 55105 88168 103000 107000 110210 176336 206000 214000 220420 275525 440840 551050 881680 1102100 1377625 2204200 2755250 4408400 5510500 11021000 22042000