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20608224 = 2537213337
BaseRepresentation
bin100111010011…
…1010011100000
31102210000011120
41032213103200
520233430344
62013412240
7340111200
oct116472340
942700146
1020608224
11106a629a
126a9a080
134367220
142a46400
151c21219
hex13a74e0

20608224 has 144 divisors (see below), whose sum is σ = 67970448. Its totient is φ = 5419008.

The previous prime is 20608219. The next prime is 20608229. The reversal of 20608224 is 42280602.

It is an interprime number because it is at equal distance from previous prime (20608219) and next prime (20608229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20608194 and 20608203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20608229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60984 + ... + 61320.

It is an arithmetic number, because the mean of its divisors is an integer number (472017).

Almost surely, 220608224 is an apocalyptic number.

20608224 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 20608224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33985224).

20608224 is an abundant number, since it is smaller than the sum of its proper divisors (47362224).

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

20608224 is a wasteful number, since it uses less digits than its factorization.

20608224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20608224 is about 4539.6281786067. The cubic root of 20608224 is about 274.1659534210.

Adding to 20608224 its reverse (42280602), we get a palindrome (62888826).

The spelling of 20608224 in words is "twenty million, six hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 337 364 392 416 546 588 624 637 672 674 728 784 1011 1092 1176 1248 1274 1348 1456 1568 1911 2022 2184 2352 2359 2548 2696 2912 3822 4044 4368 4381 4704 4718 5096 5392 7077 7644 8088 8736 8762 9436 10192 10784 13143 14154 15288 16176 16513 17524 18872 20384 26286 28308 30576 30667 32352 33026 35048 37744 49539 52572 56616 61152 61334 66052 70096 75488 92001 99078 105144 113232 122668 132104 140192 184002 198156 210288 214669 226464 245336 264208 368004 396312 420576 429338 490672 528416 644007 736008 792624 858676 981344 1288014 1472016 1585248 1717352 2576028 2944032 3434704 5152056 6869408 10304112 20608224