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42230000 = 245441103
BaseRepresentation
bin1010000100011…
…0000011110000
32221110111200002
42201012003300
541302330000
64105045132
71021643351
oct241060360
987414602
1042230000
112192402a
12121867a8
138997887
145873d28
153a928d5
hex28460f0

42230000 has 100 divisors (see below), whose sum is σ = 105753648. Its totient is φ = 16320000.

The previous prime is 42229991. The next prime is 42230009. The reversal of 42230000 is 3224.

It is an interprime number because it is at equal distance from previous prime (42229991) and next prime (42230009).

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42230009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409949 + ... + 410051.

Almost surely, 242230000 is an apocalyptic number.

42230000 is a gapful number since it is divisible by the number (40) 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 42230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876824).

42230000 is an abundant number, since it is smaller than the sum of its proper divisors (63523648).

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

42230000 is a wasteful number, since it uses less digits than its factorization.

42230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 42230000 is about 6498.4613563520. The cubic root of 42230000 is about 348.2360225622.

Adding to 42230000 its reverse (3224), we get a palindrome (42233224).

The spelling of 42230000 in words is "forty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 103 125 164 200 205 206 250 328 400 410 412 500 515 625 656 820 824 1000 1025 1030 1250 1640 1648 2000 2050 2060 2500 2575 3280 4100 4120 4223 5000 5125 5150 8200 8240 8446 10000 10250 10300 12875 16400 16892 20500 20600 21115 25625 25750 33784 41000 41200 42230 51250 51500 64375 67568 82000 84460 102500 103000 105575 128750 168920 205000 206000 211150 257500 337840 410000 422300 515000 527875 844600 1030000 1055750 1689200 2111500 2639375 4223000 5278750 8446000 10557500 21115000 42230000