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231242368 = 277323229
BaseRepresentation
bin11011100100001…
…11101010000000
3121010010022220011
431302013222000
5433144223433
634540154304
75505346000
oct1562075200
9533108804
10231242368
111095918a5
1265538994
1338ba5906
14229d6000
151547b3cd
hexdc87a80

231242368 has 128 divisors (see below), whose sum is σ = 563040000. Its totient is φ = 94381056.

The previous prime is 231242359. The next prime is 231242383. The reversal of 231242368 is 863242132.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009678 + ... + 1009906.

It is an arithmetic number, because the mean of its divisors is an integer number (4398750).

Almost surely, 2231242368 is an apocalyptic number.

231242368 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 231242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281520000).

231242368 is an abundant number, since it is smaller than the sum of its proper divisors (331797632).

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

231242368 is an equidigital number, since it uses as much as digits as its factorization.

231242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 231242368 is about 15206.6553850608. The cubic root of 231242368 is about 613.7937605526.

The spelling of 231242368 in words is "two hundred thirty-one million, two hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 229 322 343 368 392 448 458 644 686 736 784 896 916 1127 1288 1372 1472 1568 1603 1832 2254 2576 2744 2944 3136 3206 3664 4508 5152 5267 5488 6272 6412 7328 7889 9016 10304 10534 10976 11221 12824 14656 15778 18032 20608 21068 21952 22442 25648 29312 31556 36064 36869 42136 43904 44884 51296 63112 72128 73738 78547 84272 89768 102592 126224 144256 147476 157094 168544 179536 205184 252448 258083 294952 314188 337088 359072 504896 516166 589904 628376 674176 718144 1009792 1032332 1179808 1256752 1436288 1806581 2064664 2359616 2513504 3613162 4129328 4719232 5027008 7226324 8258656 10054016 14452648 16517312 28905296 33034624 57810592 115621184 231242368