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20232300 = 22352116131
BaseRepresentation
bin100110100101…
…1100001101100
31102001220111110
41031023201230
520134413200
62001352020
7333654204
oct115134154
942056443
1020232300
1110469910
126938610
13426509a
142989404
151b99b50
hex134b86c

20232300 has 72 divisors (see below), whose sum is σ = 63870912. Its totient is φ = 4904000.

The previous prime is 20232299. The next prime is 20232301. The reversal of 20232300 is 323202.

It is an interprime number because it is at equal distance from previous prime (20232299) and next prime (20232301).

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

It is not an unprimeable number, because it can be changed into a prime (20232301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235 + ... + 6365.

It is an arithmetic number, because the mean of its divisors is an integer number (887096).

Almost surely, 220232300 is an apocalyptic number.

20232300 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 20232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31935456).

20232300 is an abundant number, since it is smaller than the sum of its proper divisors (43638612).

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

20232300 is a wasteful number, since it uses less digits than its factorization.

20232300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6159 (or 6152 counting only the distinct ones).

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

The square root of 20232300 is about 4498.0329033923. The cubic root of 20232300 is about 272.4886508754.

Adding to 20232300 its reverse (323202), we get a palindrome (20555502).

The spelling of 20232300 in words is "twenty million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6131 12262 18393 24524 30655 36786 61310 67441 73572 91965 122620 134882 153275 183930 202323 269764 306550 337205 367860 404646 459825 613100 674410 809292 919650 1011615 1348820 1686025 1839300 2023230 3372050 4046460 5058075 6744100 10116150 20232300