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232301020 = 22572921973
BaseRepresentation
bin11011101100010…
…10000111011100
3121012010010002111
431312022013130
5433432113040
635015003404
75520345310
oct1566120734
9535103074
10232301020
1110a145216
1265969564
1339186733
1422bcdb40
15155d9dea
hexdd8a1dc

232301020 has 72 divisors (see below), whose sum is σ = 577702944. Its totient is φ = 76860672.

The previous prime is 232300987. The next prime is 232301033. The reversal of 232301020 is 20103232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116754 + ... + 118726.

It is an arithmetic number, because the mean of its divisors is an integer number (8023652).

Almost surely, 2232301020 is an apocalyptic number.

232301020 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 232301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288851472).

232301020 is an abundant number, since it is smaller than the sum of its proper divisors (345401924).

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

232301020 is a wasteful number, since it uses less digits than its factorization.

232301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 232301020 is about 15241.4244741100. The cubic root of 232301020 is about 614.7290056862.

Adding to 232301020 its reverse (20103232), we get a palindrome (252404252).

The spelling of 232301020 in words is "two hundred thirty-two million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 841 1015 1682 1973 2030 3364 3946 4060 4205 5887 7892 8410 9865 11774 13811 16820 19730 23548 27622 29435 39460 55244 57217 58870 69055 114434 117740 138110 228868 276220 286085 400519 572170 801038 1144340 1602076 1659293 2002595 3318586 4005190 6637172 8010380 8296465 11615051 16592930 23230102 33185860 46460204 58075255 116150510 232301020