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230565888 = 2113271787
BaseRepresentation
bin11011011111000…
…10100000000000
3121001211221221100
431233202200000
5433011102023
634513454400
75466530520
oct1557424000
9531757840
10230565888
1110916a623
1265271400
13389c9a27
142289b680
1515395c43
hexdbe2800

230565888 has 144 divisors (see below), whose sum is σ = 761473440. Its totient is φ = 65839104.

The previous prime is 230565887. The next prime is 230565889. The reversal of 230565888 is 888565032.

It is a happy number.

230565888 is a `hidden beast` number, since 2 + 3 + 0 + 565 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (230565887) and next prime (230565889).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230565887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128131 + ... + 129917.

It is an arithmetic number, because the mean of its divisors is an integer number (5288010).

Almost surely, 2230565888 is an apocalyptic number.

230565888 is a gapful number since it is divisible by the number (28) 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 230565888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380736720).

230565888 is an abundant number, since it is smaller than the sum of its proper divisors (530907552).

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

230565888 is a wasteful number, since it uses less digits than its factorization.

230565888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 230565888 is about 15184.3962013641. The cubic root of 230565888 is about 613.1946420284.

The spelling of 230565888 in words is "two hundred thirty million, five hundred sixty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1787 1792 2016 2048 2304 2688 3072 3574 3584 4032 4608 5361 5376 6144 7148 7168 8064 9216 10722 10752 12509 14296 14336 16083 16128 18432 21444 21504 25018 28592 32166 32256 37527 42888 43008 50036 57184 64332 64512 75054 85776 100072 112581 114368 128664 129024 150108 171552 200144 225162 228736 257328 300216 343104 400288 450324 457472 514656 600432 686208 800576 900648 914944 1029312 1200864 1372416 1601152 1801296 1829888 2058624 2401728 2744832 3202304 3602592 3659776 4117248 4803456 5489664 6404608 7205184 8234496 9606912 10979328 12809216 14410368 16468992 19213824 25618432 28820736 32937984 38427648 57641472 76855296 115282944 230565888