Search a number
-
+
20225424 = 2431967331
BaseRepresentation
bin100110100100…
…1110110010000
31102001120001210
41031021312100
520134203144
62001300120
7333625152
oct115116620
942046053
1020225424
111046472a
126934640
134261c0b
142986ad2
151b97ab9
hex1349d90

20225424 has 80 divisors (see below), whose sum is σ = 55988480. Its totient is φ = 6272640.

The previous prime is 20225419. The next prime is 20225477. The reversal of 20225424 is 42452202.

It is a self number, because there is not a number n which added to its sum of digits gives 20225424.

It is an unprimeable number.

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, 60939 + ... + 61269.

It is an arithmetic number, because the mean of its divisors is an integer number (699856).

Almost surely, 220225424 is an apocalyptic number.

20225424 is a gapful number since it is divisible by the number (24) 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 20225424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27994240).

20225424 is an abundant number, since it is smaller than the sum of its proper divisors (35763056).

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

20225424 is a wasteful number, since it uses less digits than its factorization.

20225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 20225424 is about 4497.2685043257. The cubic root of 20225424 is about 272.4577787179.

Adding to 20225424 its reverse (42452202), we get a palindrome (62677626).

The spelling of 20225424 in words is "twenty million, two hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 228 268 304 331 402 456 536 662 804 912 993 1072 1273 1324 1608 1986 2546 2648 3216 3819 3972 5092 5296 6289 7638 7944 10184 12578 15276 15888 18867 20368 22177 25156 30552 37734 44354 50312 61104 66531 75468 88708 100624 133062 150936 177416 266124 301872 354832 421363 532248 842726 1064496 1264089 1685452 2528178 3370904 5056356 6741808 10112712 20225424