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229698820 = 225135379211
BaseRepresentation
bin11011011000011…
…10110100000100
3121000012220112201
431230032310010
5432300330240
634443124244
75456256601
oct1554166404
9530186481
10229698820
1110872813a
1264b13684
1338785180
14227136a8
1515273d9a
hexdb0ed04

229698820 has 96 divisors (see below), whose sum is σ = 538513920. Its totient is φ = 81768960.

The previous prime is 229698817. The next prime is 229698827. The reversal of 229698820 is 28896922.

It is a happy number.

229698820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (229698827) 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 31 ways as a sum of consecutive naturals, for example, 1088515 + ... + 1088725.

It is an arithmetic number, because the mean of its divisors is an integer number (5609520).

Almost surely, 2229698820 is an apocalyptic number.

229698820 is a gapful number since it is divisible by the number (20) 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 229698820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269256960).

229698820 is an abundant number, since it is smaller than the sum of its proper divisors (308815100).

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

229698820 is a wasteful number, since it uses less digits than its factorization.

229698820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 229698820 is about 15155.8180247719. The cubic root of 229698820 is about 612.4250148381.

The spelling of 229698820 in words is "two hundred twenty-nine million, six hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 79 106 130 158 211 212 260 265 316 395 422 530 689 790 844 1027 1055 1060 1378 1580 2054 2110 2743 2756 3445 4108 4187 4220 5135 5486 6890 8374 10270 10972 11183 13715 13780 16669 16748 20540 20935 22366 27430 33338 41870 44732 54431 54860 55915 66676 83345 83740 108862 111830 145379 166690 216697 217724 223660 272155 290758 333380 433394 544310 581516 726895 866788 883457 1083485 1088620 1453790 1766914 2166970 2907580 3533828 4333940 4417285 8834570 11484941 17669140 22969882 45939764 57424705 114849410 229698820