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230222000 = 2453432677
BaseRepresentation
bin11011011100011…
…10100010110000
3121001012111012202
431232032202300
5432414101000
634502242332
75463566111
oct1556164260
9531174182
10230222000
11108a55218
12651263a8
1338909348
142280c208
1515328dd5
hexdb8e8b0

230222000 has 80 divisors (see below), whose sum is σ = 569835552. Its totient is φ = 89913600.

The previous prime is 230221967. The next prime is 230222021. The reversal of 230222000 is 222032.

230222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84662 + ... + 87338.

Almost surely, 2230222000 is an apocalyptic number.

230222000 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 230222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284917776).

230222000 is an abundant number, since it is smaller than the sum of its proper divisors (339613552).

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

230222000 is a wasteful number, since it uses less digits than its factorization.

230222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 230222000 is about 15173.0682460734. The cubic root of 230222000 is about 612.8896313072.

Adding to 230222000 its reverse (222032), we get a palindrome (230444032).

The spelling of 230222000 in words is "two hundred thirty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 2677 3440 4300 5354 5375 8600 10708 10750 13385 17200 21416 21500 26770 42832 43000 53540 66925 86000 107080 115111 133850 214160 230222 267700 334625 460444 535400 575555 669250 920888 1070800 1151110 1338500 1841776 2302220 2677000 2877775 4604440 5354000 5755550 9208880 11511100 14388875 23022200 28777750 46044400 57555500 115111000 230222000