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230030020 = 225111278233
BaseRepresentation
bin11011011010111…
…11101011000100
3121000211201212101
431231133223010
5432341430040
634454201444
75462136313
oct1555375304
9530751771
10230030020
11108933a60
1265053284
133886cb4c
142279c27a
15152dc09a
hexdb5fac4

230030020 has 48 divisors (see below), whose sum is σ = 531191808. Its totient is φ = 82978560.

The previous prime is 230029993. The next prime is 230030039. The reversal of 230030020 is 20030032.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 230029979 and 230030006.

It is an unprimeable number.

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, 23824 + ... + 32056.

It is an arithmetic number, because the mean of its divisors is an integer number (11066496).

Almost surely, 2230030020 is an apocalyptic number.

230030020 is a gapful number since it is divisible by the number (20) 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 230030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265595904).

230030020 is an abundant number, since it is smaller than the sum of its proper divisors (301161788).

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

230030020 is a wasteful number, since it uses less digits than its factorization.

230030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 230030020 is about 15166.7405859005. The cubic root of 230030020 is about 612.7192229297.

Adding to 230030020 its reverse (20030032), we get a palindrome (250060052).

The spelling of 230030020 in words is "two hundred thirty million, thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5588 6985 8233 13970 16466 27940 32932 41165 82330 90563 164660 181126 362252 452815 905630 1045591 1811260 2091182 4182364 5227955 10455910 11501501 20911820 23003002 46006004 57507505 115015010 230030020