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230523552 = 25327293943
BaseRepresentation
bin11011011110110…
…00001010100000
3121001202210212100
431233120022200
5433003223202
634512530400
75466263220
oct1557301240
9531683770
10230523552
11109140836
1265250a00
13389b368c
142288a080
151538841c
hexdbd82a0

230523552 has 144 divisors (see below), whose sum is σ = 775232640. Its totient is φ = 63576576.

The previous prime is 230523547. The next prime is 230523563. The reversal of 230523552 is 255325032.

230523552 is a `hidden beast` number, since 2 + 305 + 2 + 355 + 2 = 666.

230523552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2305235522 = 106282216053393408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56493 + ... + 60435.

It is an arithmetic number, because the mean of its divisors is an integer number (5383560).

Almost surely, 2230523552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230523552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387616320).

230523552 is an abundant number, since it is smaller than the sum of its proper divisors (544709088).

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

230523552 is a wasteful number, since it uses less digits than its factorization.

230523552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 230523552 is about 15183.0020746887. The cubic root of 230523552 is about 613.1571085817.

Adding to 230523552 its reverse (255325032), we get a palindrome (485848584).

The spelling of 230523552 in words is "two hundred thirty million, five hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 3943 4176 4872 6496 7308 7886 8352 9744 11829 14616 15772 19488 23658 27601 29232 31544 35487 47316 55202 58464 63088 70974 82803 94632 110404 114347 126176 141948 165606 189264 220808 228694 248409 283896 331212 343041 378528 441616 457388 496818 567792 662424 686082 800429 883232 914776 993636 1029123 1135584 1324848 1372164 1600858 1829552 1987272 2058246 2401287 2649696 2744328 3201716 3659104 3974544 4116492 4802574 5488656 6403432 7203861 7949088 8232984 9605148 10977312 12806864 14407722 16465968 19210296 25613728 28815444 32931936 38420592 57630888 76841184 115261776 230523552