Search a number
-
+
23201420 = 22511163647
BaseRepresentation
bin101100010000…
…0011010001100
31121122202100212
41120200122030
521414421140
62145141552
7401131424
oct130403214
947582325
1023201420
1112107630
12792a8b8
134a64668
14311d484
152084765
hex162068c

23201420 has 48 divisors (see below), whose sum is σ = 53561088. Its totient is φ = 8372160.

The previous prime is 23201419. The next prime is 23201429. The reversal of 23201420 is 2410232.

It is a junction number, because it is equal to n+sod(n) for n = 23201395 and 23201404.

It is not an unprimeable number, because it can be changed into a prime (23201429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35537 + ... + 36183.

It is an arithmetic number, because the mean of its divisors is an integer number (1115856).

Almost surely, 223201420 is an apocalyptic number.

23201420 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 23201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26780544).

23201420 is an abundant number, since it is smaller than the sum of its proper divisors (30359668).

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

23201420 is a wasteful number, since it uses less digits than its factorization.

23201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23201420 is about 4816.7852349882. The cubic root of 23201420 is about 285.2144482215.

Adding to 23201420 its reverse (2410232), we get a palindrome (25611652).

The spelling of 23201420 in words is "twenty-three million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 647 652 815 1294 1630 1793 2588 3235 3260 3586 6470 7117 7172 8965 12940 14234 17930 28468 35585 35860 71170 105461 142340 210922 421844 527305 1054610 1160071 2109220 2320142 4640284 5800355 11600710 23201420