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220285744 = 24717311369
BaseRepresentation
bin11010010000101…
…00101100110000
3120100111200020021
431020110230300
5422343120434
633505253224
75313253330
oct1510245460
9510450207
10220285744
11103388a38
1261934214
133683a7c3
14213830c0
1514514cb4
hexd214b30

220285744 has 40 divisors (see below), whose sum is σ = 490638240. Its totient is φ = 93854208.

The previous prime is 220285729. The next prime is 220285787. The reversal of 220285744 is 447582022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13692 + ... + 25060.

It is an arithmetic number, because the mean of its divisors is an integer number (12265956).

Almost surely, 2220285744 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 220285744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245319120).

220285744 is an abundant number, since it is smaller than the sum of its proper divisors (270352496).

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

220285744 is a wasteful number, since it uses less digits than its factorization.

220285744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 220285744 is about 14842.0262767588. The cubic root of 220285744 is about 603.9423215831.

It can be divided in two parts, 22028 and 5744, that added together give a palindrome (27772).

The spelling of 220285744 in words is "two hundred twenty million, two hundred eighty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 9688 11369 19376 22738 45476 79583 90952 159166 181904 318332 636664 1273328 1966837 3933674 7867348 13767859 15734696 27535718 31469392 55071436 110142872 220285744