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230312144 = 2431974787
BaseRepresentation
bin11011011101001…
…00100011010000
3121001101001212102
431232210203100
5432424442034
634504215532
75464422656
oct1556444320
9531331772
10230312144
11109006a17
126516a5a8
133893b39a
1422832dd6
151534597e
hexdba48d0

230312144 has 40 divisors (see below), whose sum is σ = 465470208. Its totient is φ = 110269440.

The previous prime is 230312123. The next prime is 230312191. The reversal of 230312144 is 441213032.

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 7 ways as a sum of consecutive naturals, for example, 45719 + ... + 50505.

Almost surely, 2230312144 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 230312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232735104).

230312144 is an abundant number, since it is smaller than the sum of its proper divisors (235158064).

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

230312144 is a wasteful number, since it uses less digits than its factorization.

230312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 230312144 is about 15176.0384817646. The cubic root of 230312144 is about 612.9696136918.

Adding to 230312144 its reverse (441213032), we get a palindrome (671525176).

The spelling of 230312144 in words is "two hundred thirty million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 97 124 194 248 388 496 776 1552 3007 4787 6014 9574 12028 19148 24056 38296 48112 76592 148397 296794 464339 593588 928678 1187176 1857356 2374352 3714712 7429424 14394509 28789018 57578036 115156072 230312144