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230455302336 = 2633761312331
BaseRepresentation
bin1101011010100000110…
…1001101100011000000
3211000211211022100021000
43112220031031203000
512233433024133321
6253511504532000
722435616514630
oct3265015154300
9730754270230
10230455302336
1189810012656
12387b7021000
1318968b1952c
14b222ba86c0
155edc037826
hex35a834d8c0

230455302336 has 224 divisors, whose sum is σ = 786976693760. Its totient is φ = 64764748800.

The previous prime is 230455302331. The next prime is 230455302347. The reversal of 230455302336 is 633203554032.

230455302336 is a `hidden beast` number, since 2 + 30 + 45 + 530 + 23 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230455302336.

It is not an unprimeable number, because it can be changed into a prime (230455302331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581691 + ... + 894021.

Almost surely, 2230455302336 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 230455302336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393488346880).

230455302336 is an abundant number, since it is smaller than the sum of its proper divisors (556521391424).

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

230455302336 is a wasteful number, since it uses less digits than its factorization.

230455302336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312420 (or 312404 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 230455302336 its reverse (633203554032), we get a palindrome (863658856368).

The spelling of 230455302336 in words is "two hundred thirty billion, four hundred fifty-five million, three hundred two thousand, three hundred thirty-six".