Search a number
-
+
230247033408 = 26367704999
BaseRepresentation
bin1101011001101111001…
…0101110101001000000
3211000022022102012000000
43112123302232221000
512233021220032113
6253435105000000
722430510330610
oct3263362565100
9730268365000
10230247033408
11897134a2077
1238759323000
1318934928592
14b203272a40
155ec8ae8373
hex359bcaea40

230247033408 has 196 divisors, whose sum is σ = 782894040000. Its totient is φ = 65784773376.

The previous prime is 230247033403. The next prime is 230247033437. The reversal of 230247033408 is 804330742032.

230247033408 is a `hidden beast` number, since 2 + 3 + 0 + 247 + 0 + 3 + 3 + 408 = 666.

230247033408 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 (36).

It is not an unprimeable number, because it can be changed into a prime (230247033403) 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 27 ways as a sum of consecutive naturals, for example, 25908 + ... + 679091.

Almost surely, 2230247033408 is an apocalyptic number.

230247033408 is a gapful number since it is divisible by the number (28) 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 230247033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391447020000).

230247033408 is an abundant number, since it is smaller than the sum of its proper divisors (552647006592).

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

230247033408 is an frugal number, since it uses more digits than its factorization.

230247033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705036 (or 705011 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 230247033408 in words is "two hundred thirty billion, two hundred forty-seven million, thirty-three thousand, four hundred eight".