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220848992 = 25713149509
BaseRepresentation
bin11010010100111…
…10001101100000
3120101120021212022
431022132031200
5423014131432
633525321012
75321120420
oct1512361540
9511507768
10220848992
11103733131
1261b66168
13369a6ca0
142148c480
15145c6b12
hexd29e360

220848992 has 96 divisors (see below), whose sum is σ = 539784000. Its totient is φ = 86611968.

The previous prime is 220848941. The next prime is 220849009. The reversal of 220848992 is 299848022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433634 + ... + 434142.

It is an arithmetic number, because the mean of its divisors is an integer number (5622750).

Almost surely, 2220848992 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 220848992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269892000).

220848992 is an abundant number, since it is smaller than the sum of its proper divisors (318935008).

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

220848992 is a wasteful number, since it uses less digits than its factorization.

220848992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 220848992 is about 14860.9889307542. The cubic root of 220848992 is about 604.4566229684.

The spelling of 220848992 in words is "two hundred twenty million, eight hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 149 182 208 224 298 364 416 509 596 728 1018 1043 1192 1456 1937 2036 2086 2384 2912 3563 3874 4072 4172 4768 6617 7126 7748 8144 8344 13234 13559 14252 15496 16288 16688 26468 27118 28504 30992 33376 46319 52936 54236 57008 61984 75841 92638 105872 108472 114016 151682 185276 211744 216944 303364 370552 433888 530887 606728 741104 985933 1061774 1213456 1482208 1971866 2123548 2426912 3943732 4247096 6901531 7887464 8494192 13803062 15774928 16988384 27606124 31549856 55212248 110424496 220848992