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221021012220 = 223543137625307
BaseRepresentation
bin1100110111010111100…
…0010000000011111100
3210010111100000202012120
43031311320100003330
512110122334342340
6245311411202540
721653051414631
oct3156570200374
9703440022176
10221021012220
1185809665878
1236a035a6450
1317ac43b0048
14a9a9c24188
155b38b724d0
hex3375e100fc

221021012220 has 96 divisors (see below), whose sum is σ = 637874189568. Its totient is φ = 57147965952.

The previous prime is 221021012203. The next prime is 221021012249. The reversal of 221021012220 is 22210120122.

221021012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221021012220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40807 + ... + 666113.

It is an arithmetic number, because the mean of its divisors is an integer number (6644522808).

Almost surely, 2221021012220 is an apocalyptic number.

221021012220 is a gapful number since it is divisible by the number (20) 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 221021012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318937094784).

221021012220 is an abundant number, since it is smaller than the sum of its proper divisors (416853177348).

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

221021012220 is a wasteful number, since it uses less digits than its factorization.

221021012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625499 (or 625497 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221021012220 its reverse (22210120122), we get a palindrome (243231132342).

The spelling of 221021012220 in words is "two hundred twenty-one billion, twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 137 172 215 258 274 411 430 516 548 645 685 822 860 1290 1370 1644 2055 2580 2740 4110 5891 8220 11782 17673 23564 29455 35346 58910 70692 88365 117820 176730 353460 625307 1250614 1875921 2501228 3126535 3751842 6253070 7503684 9379605 12506140 18759210 26888201 37518420 53776402 80664603 85667059 107552804 134441005 161329206 171334118 257001177 268882010 322658412 342668236 403323015 428335295 514002354 537764020 806646030 856670590 1028004708 1285005885 1613292060 1713341180 2570011770 3683683537 5140023540 7367367074 11051050611 14734734148 18418417685 22102101222 36836835370 44204202444 55255253055 73673670740 110510506110 221021012220