Search a number
-
+
230020064 = 2517547773
BaseRepresentation
bin11011011010111…
…01001111100000
3121000211020012122
431231131033200
5432341120224
634454043412
75462065301
oct1555351740
9530736178
10230020064
1110892752a
1265049568
1338868461
14227987a8
15152d915e
hexdb5d3e0

230020064 has 48 divisors (see below), whose sum is σ = 480988368. Its totient is φ = 107907072.

The previous prime is 230020039. The next prime is 230020067. The reversal of 230020064 is 460020032.

230020064 is digitally balanced in base 3, 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 (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230020067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297182 + ... + 297954.

It is an arithmetic number, because the mean of its divisors is an integer number (10020591).

Almost surely, 2230020064 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 230020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240494184).

230020064 is an abundant number, since it is smaller than the sum of its proper divisors (250968304).

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

230020064 is a wasteful number, since it uses less digits than its factorization.

230020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 230020064 is about 15166.4123641684. The cubic root of 230020064 is about 612.7103830391.

Adding to 230020064 its reverse (460020032), we get a palindrome (690040096).

The spelling of 230020064 in words is "two hundred thirty million, twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 547 773 1094 1546 2188 3092 4376 6184 8752 9299 12368 13141 17504 18598 24736 26282 37196 52564 74392 105128 148784 210256 297568 420512 422831 845662 1691324 3382648 6765296 7188127 13530592 14376254 28752508 57505016 115010032 230020064