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424230000 = 2435479179
BaseRepresentation
bin11001010010010…
…011110001110000
31002120021010011020
4121102103301300
51332100330000
6110032415440
713340616105
oct3122236160
91076233136
10424230000
111a8515307
12ba0a7580
1369b7618c
14404b0aac
152739cba0
hex19493c70

424230000 has 200 divisors, whose sum is σ = 1394553600. Its totient is φ = 111072000.

The previous prime is 424229999. The next prime is 424230061. The reversal of 424230000 is 32424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2369911 + ... + 2370089.

It is an arithmetic number, because the mean of its divisors is an integer number (6972768).

Almost surely, 2424230000 is an apocalyptic number.

424230000 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 424230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697276800).

424230000 is an abundant number, since it is smaller than the sum of its proper divisors (970323600).

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

424230000 is a wasteful number, since it uses less digits than its factorization.

424230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 424230000 is about 20596.8444185026. The cubic root of 424230000 is about 751.3929668118.

Adding to 424230000 its reverse (32424), we get a palindrome (424262424).

The spelling of 424230000 in words is "four hundred twenty-four million, two hundred thirty thousand".