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232308048 = 24373122303
BaseRepresentation
bin11011101100010…
…11110101010000
3121012010110201210
431312023311100
5433432324143
635015100120
75520404640
oct1566136520
9535113653
10232308048
1110a14a525
1265971640
13391899ab
1422bd2520
15155dc033
hexdd8bd50

232308048 has 80 divisors (see below), whose sum is σ = 708018176. Its totient is φ = 64229760.

The previous prime is 232308031. The next prime is 232308049. The reversal of 232308048 is 840803232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232308049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736 + ... + 21567.

Almost surely, 2232308048 is an apocalyptic number.

232308048 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 232308048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354009088).

232308048 is an abundant number, since it is smaller than the sum of its proper divisors (475710128).

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

232308048 is a wasteful number, since it uses less digits than its factorization.

232308048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22352 (or 22346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 232308048 is about 15241.6550282441. The cubic root of 232308048 is about 614.7352049298.

The spelling of 232308048 in words is "two hundred thirty-two million, three hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 22303 44606 66909 89212 133818 156121 178424 267636 312242 356848 468363 535272 624484 691393 936726 1070544 1248968 1382786 1873452 2074179 2497936 2765572 3746904 4148358 4839751 5531144 7493808 8296716 9679502 11062288 14519253 16593432 19359004 29038506 33186864 38718008 58077012 77436016 116154024 232308048