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221240304220 = 225137920835171
BaseRepresentation
bin1100111000001011110…
…0110010001001011100
3210011001121122221021111
43032002330302021130
512111100004213340
6245345243311404
721661353362125
oct3160274621134
9704047587244
10221240304220
1185911425131
1236a64b1b564
1317b2a960420
14a9cadc904c
155b4d03caea
hex3382f3225c

221240304220 has 96 divisors (see below), whose sum is σ = 507018193920. Its totient is φ = 80600382720.

The previous prime is 221240304211. The next prime is 221240304251. The reversal of 221240304220 is 22403042122.

It is a super-2 number, since 2×2212403042202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221240304191 and 221240304200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42782235 + ... + 42787405.

It is an arithmetic number, because the mean of its divisors is an integer number (5281439520).

Almost surely, 2221240304220 is an apocalyptic number.

221240304220 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 221240304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253509096960).

221240304220 is an abundant number, since it is smaller than the sum of its proper divisors (285777889700).

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

221240304220 is a wasteful number, since it uses less digits than its factorization.

221240304220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7353 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 221240304220 its reverse (22403042122), we get a palindrome (243643346342).

The spelling of 221240304220 in words is "two hundred twenty-one billion, two hundred forty million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1580 2054 2083 4108 4166 5135 5171 8332 10270 10342 10415 20540 20684 20830 25855 27079 41660 51710 54158 67223 103420 108316 134446 135395 164557 268892 270790 329114 336115 408509 541580 658228 672230 817018 822785 1344460 1634036 1645570 2042545 2139241 3291140 4085090 4278482 5310617 8170180 8556964 10621234 10696205 10771193 21242468 21392410 21542386 26553085 42784820 43084772 53106170 53855965 106212340 107711930 140025509 215423860 280051018 560102036 700127545 850924247 1400255090 1701848494 2800510180 3403696988 4254621235 8509242470 11062015211 17018484940 22124030422 44248060844 55310076055 110620152110 221240304220