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220830445476 = 2234261072
BaseRepresentation
bin1100110110101010000…
…1010010111110100100
3210010000001102221210000
43031222201102332210
512104230043223401
6245240442501300
721645245546514
oct3155241227644
9703001387700
10220830445476
11857210361a3
123696b804830
1317a93a79664
14a98c7b9844
155b2707d186
hex336a852fa4

220830445476 has 45 divisors (see below), whose sum is σ = 577316518779. Its totient is φ = 73607328936.

The previous prime is 220830445441. The next prime is 220830445501. The reversal of 220830445476 is 674544038022.

It is a happy number.

The square root of 220830445476 is 469926.

It is a perfect power (a square), and thus also a powerful number.

220830445476 is a `hidden beast` number, since 2 + 20 + 83 + 0 + 4 + 4 + 547 + 6 = 666.

220830445476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 14 ways as a sum of consecutive naturals, for example, 8445615 + ... + 8471721.

Almost surely, 2220830445476 is an apocalyptic number.

220830445476 is the 469926-th square number.

It is an amenable number.

220830445476 is an abundant number, since it is smaller than the sum of its proper divisors (356486073303).

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

220830445476 is an frugal number, since it uses more digits than its factorization.

220830445476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52230 (or 26112 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 220830445476 in words is "two hundred twenty billion, eight hundred thirty million, four hundred forty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 26107 52214 78321 104428 156642 234963 313284 469926 704889 939852 1409778 2114667 2819556 4229334 8458668 681575449 1363150898 2044726347 2726301796 4089452694 6134179041 8178905388 12268358082 18402537123 24536716164 36805074246 55207611369 73610148492 110415222738 220830445476