Search a number
-
+
220636494 = 23313674691
BaseRepresentation
bin11010010011010…
…10010101001110
3120101011111101000
431021222111032
5422440331434
633521001130
75316244041
oct1511522516
9511144330
10220636494
111035a8511
1261a831a6
1336931350
1421434c58
1514583b99
hexd26a54e

220636494 has 64 divisors (see below), whose sum is σ = 536014080. Its totient is φ = 66860640.

The previous prime is 220636469. The next prime is 220636499. The reversal of 220636494 is 494636022.

220636494 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 3 + 649 + 4 = 666.

220636494 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2206364942 = 97360924969224072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220636499) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44689 + ... + 49379.

It is an arithmetic number, because the mean of its divisors is an integer number (8375220).

Almost surely, 2220636494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220636494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268007040).

220636494 is an abundant number, since it is smaller than the sum of its proper divisors (315377586).

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

220636494 is a wasteful number, since it uses less digits than its factorization.

220636494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 220636494 is about 14853.8376859315. The cubic root of 220636494 is about 604.2626940148.

The spelling of 220636494 in words is "two hundred twenty million, six hundred thirty-six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 117 134 201 234 351 402 603 702 871 1206 1742 1809 2613 3618 4691 5226 7839 9382 14073 15678 23517 28146 42219 47034 60983 84438 121966 126657 182949 253314 314297 365898 548847 628594 942891 1097694 1646541 1885782 2828673 3293082 4085861 5657346 8171722 8486019 12257583 16972038 24515166 36772749 73545498 110318247 220636494