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1220443441 = 7227789917
BaseRepresentation
bin100100010111110…
…0111110100110001
310011001110221122221
41020233213310301
54444413142231
6321034201041
742146412100
oct11057476461
93131427587
101220443441
115769aa248
122a0883181
13165b016a9
14b8132037
1572227d11
hex48be7d31

1220443441 has 12 divisors (see below), whose sum is σ = 1424840628. Its totient is φ = 1042306272.

The previous prime is 1220443439. The next prime is 1220443451. The reversal of 1220443441 is 1443440221.

It can be written as a sum of positive squares in 2 ways, for example, as 629759025 + 590684416 = 25095^2 + 24304^2 .

It is not a de Polignac number, because 1220443441 - 21 = 1220443439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1220443421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31386 + ... + 58531.

It is an arithmetic number, because the mean of its divisors is an integer number (118736719).

Almost surely, 21220443441 is an apocalyptic number.

It is an amenable number.

1220443441 is a deficient number, since it is larger than the sum of its proper divisors (204397187).

1220443441 is an equidigital number, since it uses as much as digits as its factorization.

1220443441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90208 (or 90201 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1220443441 is about 34934.8456558777. The cubic root of 1220443441 is about 1068.6591761858.

Adding to 1220443441 its reverse (1443440221), we get a palindrome (2663883662).

The spelling of 1220443441 in words is "one billion, two hundred twenty million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 7 49 277 1939 13573 89917 629419 4405933 24907009 174349063 1220443441