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230502144 = 283595087
BaseRepresentation
bin11011011110100…
…10111100000000
3121001201201111110
431233102330000
5433002032034
634512243320
75466143625
oct1557227400
9531651443
10230502144
11109126744
1265240540
13389a6a02
142288234c
1515381de9
hexdbd2f00

230502144 has 72 divisors (see below), whose sum is σ = 623992320. Its totient is φ = 75516928.

The previous prime is 230502137. The next prime is 230502157. The reversal of 230502144 is 441205032.

230502144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230502144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42769 + ... + 47855.

It is an arithmetic number, because the mean of its divisors is an integer number (8666560).

Almost surely, 2230502144 is an apocalyptic number.

230502144 is a gapful number since it is divisible by the number (24) 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 230502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311996160).

230502144 is an abundant number, since it is smaller than the sum of its proper divisors (393490176).

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

230502144 is an equidigital number, since it uses as much as digits as its factorization.

230502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 230502144 is about 15182.2970594044. The cubic root of 230502144 is about 613.1381273342.

Adding to 230502144 its reverse (441205032), we get a palindrome (671707176).

The spelling of 230502144 in words is "two hundred thirty million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3776 5087 5664 7552 10174 11328 15104 15261 20348 22656 30522 40696 45312 61044 81392 122088 162784 244176 300133 325568 488352 600266 651136 900399 976704 1200532 1302272 1800798 1953408 2401064 3601596 3906816 4802128 7203192 9604256 14406384 19208512 28812768 38417024 57625536 76834048 115251072 230502144