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220497816 = 233711210847
BaseRepresentation
bin11010010010010…
…00011110011000
3120100220110010210
431021020132120
5422421412231
633514011120
75315125530
oct1511103630
9510813123
10220497816
11103513300
1261a16aa0
13368b31a6
14213da4c0
1514557a46
hexd248798

220497816 has 96 divisors (see below), whose sum is σ = 692536320. Its totient is φ = 57266880.

The previous prime is 220497791. The next prime is 220497829. The reversal of 220497816 is 618794022.

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, 14905 + ... + 25751.

It is an arithmetic number, because the mean of its divisors is an integer number (7213920).

Almost surely, 2220497816 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 220497816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346268160).

220497816 is an abundant number, since it is smaller than the sum of its proper divisors (472038504).

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

220497816 is a wasteful number, since it uses less digits than its factorization.

220497816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 220497816 is about 14849.1688656302. The cubic root of 220497816 is about 604.1360671769.

The spelling of 220497816 in words is "two hundred twenty million, four hundred ninety-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 10847 20328 21694 32541 43388 65082 75929 86776 119317 130164 151858 227787 238634 260328 303716 357951 455574 477268 607432 715902 835219 911148 954536 1312487 1431804 1670438 1822296 2505657 2624974 2863608 3340876 3937461 5011314 5249948 6681752 7874922 9187409 10022628 10499896 15749844 18374818 20045256 27562227 31499688 36749636 55124454 73499272 110248908 220497816