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221230134020 = 225731350310037
BaseRepresentation
bin1100111000001001010…
…1111111001100000100
3210011000220112020101102
43032002111333030010
512111034403242040
6245344241315232
721661201053320
oct3160225771404
9704026466342
10221230134020
1185906709105
1236a61635b18
1317b2880c25c
14a9c98dc980
155b4c1ce515
hex338257f304

221230134020 has 96 divisors (see below), whose sum is σ = 533760772608. Its totient is φ = 75450166272.

The previous prime is 221230133989. The next prime is 221230134031. The reversal of 221230134020 is 20431032122.

It is a super-2 number, since 2×2212301340202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221230133983 and 221230134001.

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, 22036442 + ... + 22046478.

It is an arithmetic number, because the mean of its divisors is an integer number (5560008048).

Almost surely, 2221230134020 is an apocalyptic number.

221230134020 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 221230134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266880386304).

221230134020 is an abundant number, since it is smaller than the sum of its proper divisors (312530638588).

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

221230134020 is a wasteful number, since it uses less digits than its factorization.

221230134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10869 (or 10867 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221230134020 its reverse (20431032122), we get a palindrome (241661166142).

The spelling of 221230134020 in words is "two hundred twenty-one billion, two hundred thirty million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 313 503 626 1006 1252 1565 2012 2191 2515 3130 3521 4382 5030 6260 7042 8764 10037 10060 10955 14084 17605 20074 21910 35210 40148 43820 50185 70259 70420 100370 140518 157439 200740 281036 314878 351295 629756 702590 787195 1102073 1405180 1574390 2204146 3141581 3148780 4408292 5048611 5510365 6283162 10097222 11020730 12566324 15707905 20194444 21991067 22041460 25243055 31415810 35340277 43982134 50486110 62831620 70680554 87964268 100972220 109955335 141361108 176701385 219910670 353402770 439821340 706805540 1580215243 3160430486 6320860972 7901076215 11061506701 15802152430 22123013402 31604304860 44246026804 55307533505 110615067010 221230134020