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220804716 = 223112277369
BaseRepresentation
bin11010010100100…
…11011001101100
3120101111001010110
431022103121230
5423011222331
633524340020
75320544346
oct1512233154
9511431113
10220804716
11103702940
1261b44610
133698caa2
142147a296
15145b8946
hexd29366c

220804716 has 48 divisors (see below), whose sum is σ = 564600960. Its totient is φ = 66606720.

The previous prime is 220804693. The next prime is 220804729. The reversal of 220804716 is 617408022.

220804716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26280 + ... + 33648.

It is an arithmetic number, because the mean of its divisors is an integer number (11762520).

Almost surely, 2220804716 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 220804716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282300480).

220804716 is an abundant number, since it is smaller than the sum of its proper divisors (343796244).

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

220804716 is a wasteful number, since it uses less digits than its factorization.

220804716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 220804716 is about 14859.4991840237. The cubic root of 220804716 is about 604.4162262704.

It can be divided in two parts, 22080 and 4716, that added together give a triangular number (26796 = T231).

The spelling of 220804716 in words is "two hundred twenty million, eight hundred four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 4994 7369 7491 9988 14738 14982 22107 29476 29964 44214 81059 88428 162118 243177 324236 486354 972708 1672763 3345526 5018289 6691052 10036578 18400393 20073156 36800786 55201179 73601572 110402358 220804716