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230207040 = 26325719601
BaseRepresentation
bin11011011100010…
…10111001000000
3121001011201200200
431232022321000
5432413111130
634502045200
75463504360
oct1556127100
9531151620
10230207040
11108a44a58
1265119800
13389025ab
14228069a0
1515324760
hexdb8ae40

230207040 has 336 divisors, whose sum is σ = 954145920. Its totient is φ = 49766400.

The previous prime is 230207039. The next prime is 230207051. The reversal of 230207040 is 40702032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 382740 + ... + 383340.

It is an arithmetic number, because the mean of its divisors is an integer number (2839720).

Almost surely, 2230207040 is an apocalyptic number.

230207040 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 230207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477072960).

230207040 is an abundant number, since it is smaller than the sum of its proper divisors (723938880).

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

230207040 is a wasteful number, since it uses less digits than its factorization.

230207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 230207040 is about 15172.5752593289. The cubic root of 230207040 is about 612.8763556754.

Adding to 230207040 its reverse (40702032), we get a palindrome (270909072).

The spelling of 230207040 in words is "two hundred thirty million, two hundred seven thousand, forty".