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230424531075 = 32524389267601
BaseRepresentation
bin1101011010011001011…
…1110101000010000011
3211000202200102000000200
43112212113311002003
512233402134443300
6253504445220243
722435064124534
oct3264627650203
9730680360020
10230424531075
11897a4705762
12387a8861683
131896263449b
14b21ca7868b
155ed94aa200
hex35a65f5083

230424531075 has 72 divisors (see below), whose sum is σ = 427060679760. Its totient is φ = 118685952000.

The previous prime is 230424531067. The next prime is 230424531083. The reversal of 230424531075 is 570135424032.

230424531075 is a `hidden beast` number, since 2 + 30 + 4 + 24 + 531 + 0 + 75 = 666.

230424531075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230424531067) and next prime (230424531083).

It is not a de Polignac number, because 230424531075 - 23 = 230424531067 is a prime.

It is a super-2 number, since 2×2304245310752 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 727275 + ... + 994875.

It is an arithmetic number, because the mean of its divisors is an integer number (5931398330).

Almost surely, 2230424531075 is an apocalyptic number.

230424531075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230424531075 is a deficient number, since it is larger than the sum of its proper divisors (196636148685).

230424531075 is a wasteful number, since it uses less digits than its factorization.

230424531075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267749 (or 267741 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 230424531075 in words is "two hundred thirty billion, four hundred twenty-four million, five hundred thirty-one thousand, seventy-five".

Divisors: 1 3 5 9 15 25 43 45 75 89 129 215 225 267 387 445 645 801 1075 1335 1935 2225 3225 3827 4005 6675 9675 11481 19135 20025 34443 57405 95675 172215 267601 287025 802803 861075 1338005 2408409 4014015 6690025 11506843 12042045 20070075 23816489 34520529 57534215 60210225 71449467 103561587 119082445 172602645 214348401 287671075 357247335 517807935 595412225 863013225 1024109027 1071742005 1786236675 2589039675 3072327081 5120545135 5358710025 9216981243 15361635405 25602725675 46084906215 76808177025 230424531075