Search a number
-
+
220213656 = 2332131491579
BaseRepresentation
bin11010010000000…
…11000110011000
3120100101000100100
431020003012120
5422333314111
633503535400
75312533215
oct1510030630
9510330310
10220213656
11103339863
12618ba560
1336813a50
1421364b0c
15144ed756
hexd203198

220213656 has 96 divisors (see below), whose sum is σ = 647010000. Its totient is φ = 67260672.

The previous prime is 220213639. The next prime is 220213687. The reversal of 220213656 is 656312022.

220213656 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 1 + 3 + 656 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138675 + ... + 140253.

Almost surely, 2220213656 is an apocalyptic number.

220213656 is a gapful number since it is divisible by the number (26) 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 220213656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323505000).

220213656 is an abundant number, since it is smaller than the sum of its proper divisors (426796344).

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

220213656 is a wasteful number, since it uses less digits than its factorization.

220213656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 220213656 is about 14839.5975686674. The cubic root of 220213656 is about 603.8764348198.

Adding to 220213656 its reverse (656312022), we get a palindrome (876525678).

The spelling of 220213656 in words is "two hundred twenty million, two hundred thirteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 149 156 234 298 312 447 468 596 894 936 1192 1341 1579 1788 1937 2682 3158 3576 3874 4737 5364 5811 6316 7748 9474 10728 11622 12632 14211 15496 17433 18948 20527 23244 28422 34866 37896 41054 46488 56844 61581 69732 82108 113688 123162 139464 164216 184743 235271 246324 369486 470542 492648 705813 738972 941084 1411626 1477944 1882168 2117439 2823252 3058523 4234878 5646504 6117046 8469756 9175569 12234092 16939512 18351138 24468184 27526707 36702276 55053414 73404552 110106828 220213656