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230212300 = 225217191709
BaseRepresentation
bin11011011100011…
…00001011001100
3121001011222220111
431232030023030
5432413243200
634502125404
75463525613
oct1556141314
9531158814
10230212300
11108a489aa
1265120864
1338904ac6
142280887a
15153260ba
hexdb8c2cc

230212300 has 72 divisors (see below), whose sum is σ = 532465920. Its totient is φ = 86092800.

The previous prime is 230212259. The next prime is 230212309. The reversal of 230212300 is 3212032.

It is a happy number.

230212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230212309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324346 + ... + 325054.

It is an arithmetic number, because the mean of its divisors is an integer number (7395360).

Almost surely, 2230212300 is an apocalyptic number.

230212300 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 230212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266232960).

230212300 is an abundant number, since it is smaller than the sum of its proper divisors (302253620).

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

230212300 is a wasteful number, since it uses less digits than its factorization.

230212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 230212300 is about 15172.7485974032. The cubic root of 230212300 is about 612.8810235099.

Adding to 230212300 its reverse (3212032), we get a palindrome (233424332).

The spelling of 230212300 in words is "two hundred thirty million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 191 340 382 425 709 764 850 955 1418 1700 1910 2836 3247 3545 3820 4775 6494 7090 9550 12053 12988 14180 16235 17725 19100 24106 32470 35450 48212 60265 64940 70900 81175 120530 135419 162350 241060 270838 301325 324700 541676 602650 677095 1205300 1354190 2302123 2708380 3385475 4604246 6770950 9208492 11510615 13541900 23021230 46042460 57553075 115106150 230212300