Search a number
-
+
23346220 = 2254171401
BaseRepresentation
bin101100100001…
…1110000101100
31121221002222211
41121003300230
521434034340
62152220204
7402303532
oct131036054
947832884
1023346220
11121a63a7
12799a664
134ab5541
14315a152
1520b25ea
hex1643c2c

23346220 has 48 divisors (see below), whose sum is σ = 51057216. Its totient is φ = 8960000.

The previous prime is 23346163. The next prime is 23346221. The reversal of 23346220 is 2264332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23346191 and 23346200.

It is not an unprimeable number, because it can be changed into a prime (23346221) 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, 58020 + ... + 58420.

It is an arithmetic number, because the mean of its divisors is an integer number (1063692).

Almost surely, 223346220 is an apocalyptic number.

23346220 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 23346220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528608).

23346220 is an abundant number, since it is smaller than the sum of its proper divisors (27710996).

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

23346220 is a wasteful number, since it uses less digits than its factorization.

23346220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 23346220 is about 4831.7926280005. The cubic root of 23346220 is about 285.8065590061.

The spelling of 23346220 in words is "twenty-three million, three hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 284 355 401 410 710 802 820 1420 1604 2005 2911 4010 5822 8020 11644 14555 16441 28471 29110 32882 56942 58220 65764 82205 113884 142355 164410 284710 328820 569420 1167311 2334622 4669244 5836555 11673110 23346220