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42214300 = 22521393037
BaseRepresentation
bin1010000100001…
…0001110011100
32221102201010121
42201002032130
541301324200
64104444324
71021546522
oct241021634
987381117
1042214300
1121913257
12121796a4
13899069b
14586c312
153a8ce1a
hex284239c

42214300 has 36 divisors (see below), whose sum is σ = 92294440. Its totient is φ = 16758720.

The previous prime is 42214273. The next prime is 42214307. The reversal of 42214300 is 341224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42214307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12382 + ... + 15418.

Almost surely, 242214300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46147220).

42214300 is an abundant number, since it is smaller than the sum of its proper divisors (50080140).

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

42214300 is a wasteful number, since it uses less digits than its factorization.

42214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42214300 is about 6497.2532658039. The cubic root of 42214300 is about 348.1928622241.

Adding to 42214300 its reverse (341224), we get a palindrome (42555524).

The spelling of 42214300 in words is "forty-two million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3037 3475 6074 6950 12148 13900 15185 30370 60740 75925 151850 303700 422143 844286 1688572 2110715 4221430 8442860 10553575 21107150 42214300