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20222496 = 2532721433
BaseRepresentation
bin100110100100…
…1001000100000
31102001102001100
41031021020200
520134104441
62001234400
7333613500
oct115111040
942042040
1020222496
1110462508
126932a00
134260798
142985a00
151b96cb6
hex1349220

20222496 has 108 divisors (see below), whose sum is σ = 66943422. Its totient is φ = 5773824.

The previous prime is 20222473. The next prime is 20222557. The reversal of 20222496 is 69422202.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 5934096 = 3780^2 + 2436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13396 + ... + 14828.

Almost surely, 220222496 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 20222496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33471711).

20222496 is an abundant number, since it is smaller than the sum of its proper divisors (46720926).

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

20222496 is a wasteful number, since it uses less digits than its factorization.

20222496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20222496 is about 4496.9429616129. The cubic root of 20222496 is about 272.4446303347. Note that the first 3 decimals are identical.

Adding to 20222496 its reverse (69422202), we get a palindrome (89644698).

The spelling of 20222496 in words is "twenty million, two hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1433 1568 1764 2016 2352 2866 3528 4299 4704 5732 7056 8598 10031 11464 12897 14112 17196 20062 22928 25794 30093 34392 40124 45856 51588 60186 68784 70217 80248 90279 103176 120372 137568 140434 160496 180558 206352 210651 240744 280868 320992 361116 412704 421302 481488 561736 631953 722232 842604 962976 1123472 1263906 1444464 1685208 2246944 2527812 2888928 3370416 5055624 6740832 10111248 20222496