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230221140 = 2235172943181
BaseRepresentation
bin11011011100011…
…10010101010100
3121001012110000220
431232032111110
5432414034030
634502234340
75463563442
oct1556162524
9531173026
10230221140
11108a54606
12651259b0
1338908b36
142280bb92
1515328a10
hexdb8e554

230221140 has 192 divisors, whose sum is σ = 726485760. Its totient is φ = 54190080.

The previous prime is 230221133. The next prime is 230221151. The reversal of 230221140 is 41122032.

It is a super-3 number, since 3×2302211403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1271850 + ... + 1272030.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2230221140 is an apocalyptic number.

230221140 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 230221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

230221140 is an abundant number, since it is smaller than the sum of its proper divisors (496264620).

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

230221140 is a wasteful number, since it uses less digits than its factorization.

230221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230221140 is about 15173.0399063602. The cubic root of 230221140 is about 612.8888681514. Note that the first 4 decimals are identical.

Adding to 230221140 its reverse (41122032), we get a palindrome (271343172).

The spelling of 230221140 in words is "two hundred thirty million, two hundred twenty-one thousand, one hundred forty".