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232836648 = 233114871811
BaseRepresentation
bin11011110000011…
…00111000101000
3121020010022211120
431320030320220
5434101233043
635034255240
75525036022
oct1570147050
9536108746
10232836648
1110a480690
1265b87520
1339313485
1422ccd012
1515693983
hexde0ce28

232836648 has 64 divisors (see below), whose sum is σ = 636664320. Its totient is φ = 70372800.

The previous prime is 232836647. The next prime is 232836661. The reversal of 232836648 is 846638232.

232836648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232836647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127663 + ... + 129473.

It is an arithmetic number, because the mean of its divisors is an integer number (9947880).

Almost surely, 2232836648 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 232836648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318332160).

232836648 is an abundant number, since it is smaller than the sum of its proper divisors (403827672).

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

232836648 is a wasteful number, since it uses less digits than its factorization.

232836648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2314 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 232836648 is about 15258.9858116455. The cubic root of 232836648 is about 615.2011134183.

The spelling of 232836648 in words is "two hundred thirty-two million, eight hundred thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 487 974 1461 1811 1948 2922 3622 3896 5357 5433 5844 7244 10714 10866 11688 14488 16071 19921 21428 21732 32142 39842 42856 43464 59763 64284 79684 119526 128568 159368 239052 478104 881957 1763914 2645871 3527828 5291742 7055656 9701527 10583484 19403054 21166968 29104581 38806108 58209162 77612216 116418324 232836648