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2230300020 = 2235136742677
BaseRepresentation
bin1000010011101111…
…1010110101110100
312202102200222110110
42010323322311310
514031424100040
61005151023020
7106161144264
oct20473726564
95672628413
102230300020
11a44a45463
12522b0aa70
132970b0070
141722c77a4
15d0c04980
hex84efad74

2230300020 has 96 divisors (see below), whose sum is σ = 6825748608. Its totient is φ = 540790272.

The previous prime is 2230300019. The next prime is 2230300027. The reversal of 2230300020 is 200030322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2230299969 and 2230300005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230300027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30922 + ... + 73598.

It is an arithmetic number, because the mean of its divisors is an integer number (71101548).

Almost surely, 22230300020 is an apocalyptic number.

2230300020 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 2230300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412874304).

2230300020 is an abundant number, since it is smaller than the sum of its proper divisors (4595448588).

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

2230300020 is a wasteful number, since it uses less digits than its factorization.

2230300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42769 (or 42767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2230300020 is about 47226.0523440188. The cubic root of 2230300020 is about 1306.5351438435.

Adding to 2230300020 its reverse (200030322), we get a palindrome (2430330342).

The spelling of 2230300020 in words is "two billion, two hundred thirty million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 670 780 804 871 1005 1340 1742 2010 2613 3484 4020 4355 5226 8710 10452 13065 17420 26130 42677 52260 85354 128031 170708 213385 256062 426770 512124 554801 640155 853540 1109602 1280310 1664403 2219204 2560620 2774005 2859359 3328806 5548010 5718718 6657612 8322015 8578077 11096020 11437436 14296795 16644030 17156154 28593590 33288060 34312308 37171667 42890385 57187180 74343334 85780770 111515001 148686668 171561540 185858335 223030002 371716670 446060004 557575005 743433340 1115150010 2230300020