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221230011220 = 225232112918521
BaseRepresentation
bin1100111000001001010…
…1100001001101010100
3210011000220021222221021
43032002111201031110
512111034340324340
6245344234530524
721661200032311
oct3160225411524
9704026258837
10221230011220
1185906634919
1236a61596a44
1317b287983aa
14a9c98a9d08
155b4c1a7e4a
hex3382561354

221230011220 has 72 divisors (see below), whose sum is σ = 486116928360. Its totient is φ = 84564986880.

The previous prime is 221230011187. The next prime is 221230011271. The reversal of 221230011220 is 22110032122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38924922436 + 182305088784 = 197294^2 + 426972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221230011194 and 221230011203.

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, 11935560 + ... + 11954080.

It is an arithmetic number, because the mean of its divisors is an integer number (6751624005).

Almost surely, 2221230011220 is an apocalyptic number.

221230011220 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 221230011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243058464180).

221230011220 is an abundant number, since it is smaller than the sum of its proper divisors (264886917140).

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

221230011220 is a wasteful number, since it uses less digits than its factorization.

221230011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19705 (or 19680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 221230011220 its reverse (22110032122), we get a palindrome (243340043342).

The spelling of 221230011220 in words is "two hundred twenty-one billion, two hundred thirty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 1129 2116 2258 2645 4516 5290 5645 10580 11290 18521 22580 25967 37042 51934 74084 92605 103868 129835 185210 259670 370420 425983 519340 597241 851966 1194482 1703932 2129915 2388964 2986205 4259830 5972410 8519660 9797609 11944820 19595218 20910209 39190436 41820418 48988045 83640836 97976090 104551045 195952180 209102090 418204180 480934807 961869614 1923739228 2404674035 4809348070 9618696140 11061500561 22123001122 44246002244 55307502805 110615005610 221230011220