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220314420340 = 22572224810633
BaseRepresentation
bin1100110100101111000…
…0110100010001110100
3210001200002110011100221
43031023300310101310
512102200442422330
6245113330344124
721626411450200
oct3151360642164
9701602404327
10220314420340
1185486823943
1236846a2b044
1317a10ba3441
14a940051b00
155ae6aebb7a
hex334bc34474

220314420340 has 36 divisors (see below), whose sum is σ = 538196657796. Its totient is φ = 75536372352.

The previous prime is 220314420331. The next prime is 220314420383. The reversal of 220314420340 is 43024413022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28895920144 + 191418500196 = 169988^2 + 437514^2 .

It is a super-3 number, since 3×2203144203403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112404337 + ... + 112406296.

It is an arithmetic number, because the mean of its divisors is an integer number (14949907161).

Almost surely, 2220314420340 is an apocalyptic number.

220314420340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220314420340 is an abundant number, since it is smaller than the sum of its proper divisors (317882237456).

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

220314420340 is a wasteful number, since it uses less digits than its factorization.

220314420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224810656 (or 224810647 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 220314420340 its reverse (43024413022), we get a palindrome (263338833362).

The spelling of 220314420340 in words is "two hundred twenty billion, three hundred fourteen million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 224810633 449621266 899242532 1124053165 1573674431 2248106330 3147348862 4496212660 6294697724 7868372155 11015721017 15736744310 22031442034 31473488620 44062884068 55078605085 110157210170 220314420340