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230333140 = 225371492089
BaseRepresentation
bin11011011101010…
…01101011010100
3121001102010200001
431232221223110
5432431130030
634504501044
75464541122
oct1556515324
9531363601
10230333140
11109020774
126517a784
1338947acb
142283a912
151534bcca
hexdba9ad4

230333140 has 48 divisors (see below), whose sum is σ = 500346000. Its totient is φ = 88998912.

The previous prime is 230333113. The next prime is 230333183. The reversal of 230333140 is 41333032.

It can be written as a sum of positive squares in 8 ways, for example, as 5513104 + 224820036 = 2348^2 + 14994^2 .

It is a congruent number.

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, 109216 + ... + 111304.

It is an arithmetic number, because the mean of its divisors is an integer number (10423875).

Almost surely, 2230333140 is an apocalyptic number.

230333140 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 230333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250173000).

230333140 is an abundant number, since it is smaller than the sum of its proper divisors (270012860).

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

230333140 is a wasteful number, since it uses less digits than its factorization.

230333140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 230333140 is about 15176.7302143775. The cubic root of 230333140 is about 612.9882398900.

Adding to 230333140 its reverse (41333032), we get a palindrome (271666172).

The spelling of 230333140 in words is "two hundred thirty million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 149 185 298 370 596 740 745 1490 2089 2980 4178 5513 8356 10445 11026 20890 22052 27565 41780 55130 77293 110260 154586 309172 311261 386465 622522 772930 1245044 1545860 1556305 3112610 6225220 11516657 23033314 46066628 57583285 115166570 230333140