Search a number
-
+
221301355016 = 23725913077321
BaseRepresentation
bin1100111000011010010…
…1101011001000001000
3210011012212112122020002
43032012211223020020
512111211121330031
6245355304022132
721663024323600
oct3160645531010
9704185478202
10221301355016
1185942933535
1236a81461948
1317b3a4b7761
14a9d515bc00
155b5359bccb
hex338696b208

221301355016 has 96 divisors (see below), whose sum is σ = 491309128800. Its totient is φ = 93151860480.

The previous prime is 221301355013. The next prime is 221301355021. The reversal of 221301355016 is 610553103122.

It is a self number, because there is not a number n which added to its sum of digits gives 221301355016.

It is not an unprimeable number, because it can be changed into a prime (221301355013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30224636 + ... + 30231956.

It is an arithmetic number, because the mean of its divisors is an integer number (5117803425).

Almost surely, 2221301355016 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 221301355016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245654564400).

221301355016 is an abundant number, since it is smaller than the sum of its proper divisors (270007773784).

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

221301355016 is a wasteful number, since it uses less digits than its factorization.

221301355016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8707 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 221301355016 its reverse (610553103122), we get a palindrome (831854458138).

The spelling of 221301355016 in words is "two hundred twenty-one billion, three hundred one million, three hundred fifty-five thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 392 413 472 826 1307 1652 2614 2891 3304 5228 5782 7321 9149 10456 11564 14642 18298 23128 29284 36596 51247 58568 64043 73192 77113 102494 128086 154226 204988 256172 308452 358729 409976 431939 512344 539791 616904 717458 863878 1079582 1434916 1727756 2159164 2869832 3023573 3455512 3778537 4318328 6047146 7557074 9568547 12094292 15114148 19137094 21165011 24188584 30228296 38274188 42330022 66979829 76548376 84660044 133959658 169320088 267919316 468858803 535838632 564544273 937717606 1129088546 1875435212 2258177092 3750870424 3951809911 4516354184 7903619822 15807239644 27662669377 31614479288 55325338754 110650677508 221301355016