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230030544 = 243231391499
BaseRepresentation
bin11011011010111…
…11110011010000
3121000211202120210
431231133303100
5432341434134
634454204120
75462140662
oct1555376320
9530752523
10230030544
11108934397
1265053640
1338870163
142279c532
15152dc2e9
hexdb5fcd0

230030544 has 80 divisors (see below), whose sum is σ = 624960000. Its totient is φ = 72766848.

The previous prime is 230030543. The next prime is 230030551. The reversal of 230030544 is 445030032.

It is a happy number.

230030544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230030544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230030543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152707 + ... + 154205.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2230030544 is an apocalyptic number.

230030544 is a gapful number since it is divisible by the number (24) 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 230030544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480000).

230030544 is an abundant number, since it is smaller than the sum of its proper divisors (394929456).

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

230030544 is a wasteful number, since it uses less digits than its factorization.

230030544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 230030544 is about 15166.7578605317. The cubic root of 230030544 is about 612.7196881800.

Adding to 230030544 its reverse (445030032), we get a palindrome (675060576).

The spelling of 230030544 in words is "two hundred thirty million, thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 139 184 276 278 368 417 552 556 834 1104 1112 1499 1668 2224 2998 3197 3336 4497 5996 6394 6672 8994 9591 11992 12788 17988 19182 23984 25576 34477 35976 38364 51152 68954 71952 76728 103431 137908 153456 206862 208361 275816 413724 416722 551632 625083 827448 833444 1250166 1654896 1666888 2500332 3333776 4792303 5000664 9584606 10001328 14376909 19169212 28753818 38338424 57507636 76676848 115015272 230030544