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221664794450 = 25211260532
BaseRepresentation
bin1100111001110001000…
…0000101011101010010
3210012011012102021101212
43032130100011131102
512112432141410300
6245455325500122
722005026444021
oct3163420053522
9705135367355
10221664794450
1186009aa7a00
1236b63111642
1317b97897b88
14aa2b5268b8
155b7543c935
hex339c405752

221664794450 has 54 divisors (see below), whose sum is σ = 453260310447. Its totient is φ = 80592063200.

The previous prime is 221664794431. The next prime is 221664794501. The reversal of 221664794450 is 54497466122.

It can be written as a sum of positive squares in 5 ways, for example, as 3817633369 + 217847161081 = 61787^2 + 466741^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332915.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36617624 + ... + 36623676.

Almost surely, 2221664794450 is an apocalyptic number.

221664794450 is an abundant number, since it is smaller than the sum of its proper divisors (231595515997).

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

221664794450 is an frugal number, since it uses more digits than its factorization.

221664794450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

Multiplying 221664794450 by its sum of digits (50), we get a square (11083239722500 = 33291502).

221664794450 divided by its sum of digits (50) gives a square (4433295889 = 665832).

The spelling of 221664794450 in words is "two hundred twenty-one billion, six hundred sixty-four million, seven hundred ninety-four thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 121 242 275 550 605 1210 3025 6050 6053 12106 30265 60530 66583 133166 151325 302650 332915 665830 732413 1464826 1664575 3329150 3662065 7324130 18310325 36620650 36638809 73277618 183194045 366388090 403026899 806053798 915970225 1831940450 2015134495 4030268990 4433295889 8866591778 10075672475 20151344950 22166479445 44332958890 110832397225 221664794450