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221986856 = 237513127
BaseRepresentation
bin11010011101101…
…00000000101000
3120110201002201102
431032310000220
5423312034411
634005540532
75333600000
oct1516640050
9513632642
10221986856
11104340013
1262414748
1336cb4b90
14216a7000
151474dd3b
hexd3b4028

221986856 has 96 divisors (see below), whose sum is σ = 527063040. Its totient is φ = 87127488.

The previous prime is 221986819. The next prime is 221986871. The reversal of 221986856 is 658689122.

It is a self number, because there is not a number n which added to its sum of digits gives 221986856.

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 23 ways as a sum of consecutive naturals, for example, 1747865 + ... + 1747991.

It is an arithmetic number, because the mean of its divisors is an integer number (5490240).

Almost surely, 2221986856 is an apocalyptic number.

221986856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221986856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263531520).

221986856 is an abundant number, since it is smaller than the sum of its proper divisors (305076184).

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

221986856 is an equidigital number, since it uses as much as digits as its factorization.

221986856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its digits is 414720, while the sum is 47.

The square root of 221986856 is about 14899.2233354628. The cubic root of 221986856 is about 605.4929443307.

The spelling of 221986856 in words is "two hundred twenty-one million, nine hundred eighty-six thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 127 182 196 254 343 364 392 508 637 686 728 889 1016 1274 1372 1651 1778 2401 2548 2744 3302 3556 4459 4802 5096 6223 6604 7112 8918 9604 11557 12446 13208 16807 17836 19208 23114 24892 31213 33614 35672 43561 46228 49784 62426 67228 80899 87122 92456 124852 134456 161798 174244 218491 249704 304927 323596 348488 436982 566293 609854 647192 873964 1132586 1219708 1747928 2134489 2265172 2439416 3964051 4268978 4530344 7928102 8537956 15856204 17075912 27748357 31712408 55496714 110993428 221986856