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424142200 = 23529721863
BaseRepresentation
bin11001010001111…
…110010101111000
31002120002122201101
4121101332111320
51332040022300
6110030501144
713340102116
oct3121762570
91076078641
10424142200
111a8465349
12ba0647b4
1369b45221
144048aab6
1527381b6a
hex1947e578

424142200 has 48 divisors (see below), whose sum is σ = 996342480. Its totient is φ = 167900160.

The previous prime is 424142183. The next prime is 424142203. The reversal of 424142200 is 2241424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424142203) 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, 8469 + ... + 30331.

It is an arithmetic number, because the mean of its divisors is an integer number (20757135).

Almost surely, 2424142200 is an apocalyptic number.

424142200 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 424142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498171240).

424142200 is an abundant number, since it is smaller than the sum of its proper divisors (572200280).

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

424142200 is a wasteful number, since it uses less digits than its factorization.

424142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21976 (or 21967 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 424142200 is about 20594.7129137553. The cubic root of 424142200 is about 751.3411263367.

Adding to 424142200 its reverse (2241424), we get a palindrome (426383624).

The spelling of 424142200 in words is "four hundred twenty-four million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 19400 21863 43726 87452 109315 174904 218630 437260 546575 874520 1093150 2120711 2186300 4241422 4372600 8482844 10603555 16965688 21207110 42414220 53017775 84828440 106035550 212071100 424142200