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230691072 = 2831392161
BaseRepresentation
bin11011100000000…
…01000100000000
3121002002022122210
431300001010000
5433024103242
634520302120
75500561503
oct1560010400
9532068583
10230691072
11109245687
1265311940
1338a419c1
14228d113a
15153bcd9c
hexdc01100

230691072 has 72 divisors (see below), whose sum is σ = 618677920. Its totient is φ = 76308480.

The previous prime is 230691067. The next prime is 230691077. The reversal of 230691072 is 270196032.

It is an interprime number because it is at equal distance from previous prime (230691067) and next prime (230691077).

It is not an unprimeable number, because it can be changed into a prime (230691077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105672 + ... + 107832.

Almost surely, 2230691072 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 230691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309338960).

230691072 is an abundant number, since it is smaller than the sum of its proper divisors (387986848).

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

230691072 is a wasteful number, since it uses less digits than its factorization.

230691072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 230691072 is about 15188.5177683670. The cubic root of 230691072 is about 613.3055984098.

The spelling of 230691072 in words is "two hundred thirty million, six hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 768 834 1112 1668 2161 2224 3336 4322 4448 6483 6672 8644 8896 12966 13344 17288 17792 25932 26688 34576 35584 51864 53376 69152 103728 106752 138304 207456 276608 300379 414912 553216 600758 829824 901137 1201516 1659648 1802274 2403032 3604548 4806064 7209096 9612128 14418192 19224256 28836384 38448512 57672768 76897024 115345536 230691072