Search a number
-
+
20223160 = 2353147347
BaseRepresentation
bin100110100100…
…1010010111000
31102001102221221
41031021102320
520134120120
62001241424
7333615436
oct115112270
942042857
1020223160
1110462a61
126933274
134260b89
142985d56
151b970aa
hex13494b8

20223160 has 64 divisors (see below), whose sum is σ = 48107520. Its totient is φ = 7639680.

The previous prime is 20223139. The next prime is 20223167. The reversal of 20223160 is 6132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20223167) 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, 58107 + ... + 58453.

It is an arithmetic number, because the mean of its divisors is an integer number (751680).

Almost surely, 220223160 is an apocalyptic number.

20223160 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 20223160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24053760).

20223160 is an abundant number, since it is smaller than the sum of its proper divisors (27884360).

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

20223160 is a wasteful number, since it uses less digits than its factorization.

20223160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20223160 is about 4497.0167889391. The cubic root of 20223160 is about 272.4476121832.

Adding to 20223160 its reverse (6132202), we get a palindrome (26355362).

The spelling of 20223160 in words is "twenty million, two hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 347 376 470 620 694 940 1240 1388 1457 1735 1880 2776 2914 3470 5828 6940 7285 10757 11656 13880 14570 16309 21514 29140 32618 43028 53785 58280 65236 81545 86056 107570 130472 163090 215140 326180 430280 505579 652360 1011158 2022316 2527895 4044632 5055790 10111580 20223160