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21122244 = 223211213373
BaseRepresentation
bin101000010010…
…0110011000100
31110202010021100
41100210303010
520401402434
62032420100
7344351613
oct120446304
943663240
1021122244
1110a17500
1270a7630
1344b7190
142b3b87a
151cc3699
hex1424cc4

21122244 has 108 divisors (see below), whose sum is σ = 63371308. Its totient is φ = 5892480.

The previous prime is 21122221. The next prime is 21122251. The reversal of 21122244 is 44222112.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 14152644 = 2640^2 + 3762^2 .

It is a super-2 number, since 2×211222442 = 892298383191072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56442 + ... + 56814.

Almost surely, 221122244 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 21122244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685654).

21122244 is an abundant number, since it is smaller than the sum of its proper divisors (42249064).

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

21122244 is a wasteful number, since it uses less digits than its factorization.

21122244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 21122244 is about 4595.8942546582. The cubic root of 21122244 is about 276.4267186200.

Adding to 21122244 its reverse (44222112), we get a palindrome (65344356).

It can be divided in two parts, 2112 and 2244, that added together give a square (4356 = 662).

The spelling of 21122244 in words is "twenty-one million, one hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 373 396 429 468 484 572 726 746 858 1089 1119 1287 1452 1492 1573 1716 2178 2238 2574 3146 3357 4103 4356 4476 4719 4849 5148 6292 6714 8206 9438 9698 12309 13428 14157 14547 16412 18876 19396 24618 28314 29094 36927 43641 45133 49236 53339 56628 58188 73854 87282 90266 106678 135399 147708 160017 174564 180532 213356 270798 320034 406197 480051 541596 586729 640068 812394 960102 1173458 1624788 1760187 1920204 2346916 3520374 5280561 7040748 10561122 21122244