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230879600 = 2452782457
BaseRepresentation
bin11011100001011…
…11000101110000
3121002102220021022
431300233011300
5433101121400
634524315012
75502305240
oct1560570560
9532386238
10230879600
11109364296
12653a2a68
1338aa9763
142293db20
1515408b85
hexdc2f170

230879600 has 60 divisors (see below), whose sum is σ = 633937104. Its totient is φ = 79157760.

The previous prime is 230879563. The next prime is 230879609. The reversal of 230879600 is 6978032.

230879600 is digitally balanced in base 2, 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 (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230879609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38429 + ... + 44028.

Almost surely, 2230879600 is an apocalyptic number.

230879600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230879600 is an abundant number, since it is smaller than the sum of its proper divisors (403057504).

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

230879600 is a wasteful number, since it uses less digits than its factorization.

230879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82482 (or 82471 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 230879600 is about 15194.7227681192. The cubic root of 230879600 is about 613.4726237937.

The spelling of 230879600 in words is "two hundred thirty million, eight hundred seventy-nine thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 82457 164914 329828 412285 577199 659656 824570 1154398 1319312 1649140 2061425 2308796 2885995 3298280 4122850 4617592 5771990 6596560 8245700 9235184 11543980 14429975 16491400 23087960 28859950 32982800 46175920 57719900 115439800 230879600