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230354544 = 24376111239
BaseRepresentation
bin11011011101011…
…10111001110000
3121001110020000210
431232232321300
5432432321134
634505144120
75464660410
oct1556567160
9531406023
10230354544
11109035862
126518b040
1338954784
1422844640
15153532e9
hexdbaee70

230354544 has 80 divisors (see below), whose sum is σ = 691304960. Its totient is φ = 64730880.

The previous prime is 230354507. The next prime is 230354557. The reversal of 230354544 is 445453032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14877 + ... + 26115.

It is an arithmetic number, because the mean of its divisors is an integer number (8641312).

Almost surely, 2230354544 is an apocalyptic number.

230354544 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 230354544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345652480).

230354544 is an abundant number, since it is smaller than the sum of its proper divisors (460950416).

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

230354544 is a wasteful number, since it uses less digits than its factorization.

230354544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 230354544 is about 15177.4353564757. The cubic root of 230354544 is about 613.0072268725.

The spelling of 230354544 in words is "two hundred thirty million, three hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6832 10248 11239 20496 22478 33717 44956 67434 78673 89912 134868 157346 179824 236019 269736 314692 472038 539472 629384 685579 944076 1258768 1371158 1888152 2056737 2742316 3776304 4113474 4799053 5484632 8226948 9598106 10969264 14397159 16453896 19196212 28794318 32907792 38392424 57588636 76784848 115177272 230354544