Search a number
-
+
21862144 = 28234779
BaseRepresentation
bin101001101100…
…1011100000000
31112010201020001
41103121130000
521044042034
62100325344
7353553013
oct123313400
945121201
1021862144
1111382397
1273a3854
1346b5ba5
142c9137a
151dbca14
hex14d9700

21862144 has 72 divisors (see below), whose sum is σ = 47093760. Its totient is φ = 10103808.

The previous prime is 21862123. The next prime is 21862193. The reversal of 21862144 is 44126812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276697 + ... + 276775.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 221862144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546880).

21862144 is an abundant number, since it is smaller than the sum of its proper divisors (25231616).

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

21862144 is an equidigital number, since it uses as much as digits as its factorization.

21862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 21862144 is about 4675.6971672682. The cubic root of 21862144 is about 279.6174367265.

Adding to 21862144 its reverse (44126812), we get a palindrome (65988956).

The spelling of 21862144 in words is "twenty-one million, eight hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 47 64 79 92 94 128 158 184 188 256 316 368 376 632 736 752 1081 1264 1472 1504 1817 2162 2528 2944 3008 3634 3713 4324 5056 5888 6016 7268 7426 8648 10112 12032 14536 14852 17296 20224 29072 29704 34592 58144 59408 69184 85399 116288 118816 138368 170798 232576 237632 276736 341596 465152 475264 683192 950528 1366384 2732768 5465536 10931072 21862144