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23201020 = 22523311627
BaseRepresentation
bin101100010000…
…0010011111100
31121122201211001
41120200103330
521414413040
62145140044
7401130313
oct130402374
947581731
1023201020
11121072a7
12792a624
134a6441b
14311d27a
15208459a
hex16204fc

23201020 has 48 divisors (see below), whose sum is σ = 52512768. Its totient is φ = 8585280.

The previous prime is 23200993. The next prime is 23201021. The reversal of 23201020 is 2010232.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 23200988 and 23201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13447 + ... + 15073.

It is an arithmetic number, because the mean of its divisors is an integer number (1094016).

Almost surely, 223201020 is an apocalyptic number.

23201020 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 23201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26256384).

23201020 is an abundant number, since it is smaller than the sum of its proper divisors (29311748).

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

23201020 is a wasteful number, since it uses less digits than its factorization.

23201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 23201020 is about 4816.7437133400. The cubic root of 23201020 is about 285.2128091489.

Adding to 23201020 its reverse (2010232), we get a palindrome (25211252).

It can be divided in two parts, 2320 and 1020, that multiplied together give a triangular number (2366400 = T2175).

The spelling of 23201020 in words is "twenty-three million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 1627 2852 3254 3565 6508 7130 8135 14260 16270 32540 37421 50437 74842 100874 149684 187105 201748 252185 374210 504370 748420 1008740 1160051 2320102 4640204 5800255 11600510 23201020