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230501230400 = 26527101203767
BaseRepresentation
bin1101011010101011110…
…0011010011101000000
3211000222000201201201102
43112222330122131000
512234031303333100
6253520225153532
722440015062660
oct3265274323500
9730860651642
10230501230400
1189833a32031
123880a48b8a8
13189754aa3bc
14b228d221a0
155ee10aacd5
hex35aaf1a740

230501230400 has 168 divisors, whose sum is σ = 654623446656. Its totient is φ = 78246144000.

The previous prime is 230501230343. The next prime is 230501230403. The reversal of 230501230400 is 4032105032.

Adding to 230501230400 its reverse (4032105032), we get a palindrome (234533335432).

It is a happy number.

230501230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230501230403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029317 + ... + 1233083.

Almost surely, 2230501230400 is an apocalyptic number.

230501230400 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 230501230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327311723328).

230501230400 is an abundant number, since it is smaller than the sum of its proper divisors (424122216256).

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

230501230400 is a wasteful number, since it uses less digits than its factorization.

230501230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203897 (or 203882 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 230501230400 in words is "two hundred thirty billion, five hundred one million, two hundred thirty thousand, four hundred".