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2220429723329 = 17427330567169
BaseRepresentation
bin100000010011111011111…
…011001100011011000001
321212021022120021000022002
4200103323323030123001
5242334420002121304
64420015030553345
7316264214144456
oct40237373143301
97767276230262
102220429723329
11786751768554
122ba401508855
131315022a881c
147967dd5782d
153cb59ca331e
hex204fbecc6c1

2220429723329 has 8 divisors (see below), whose sum is σ = 2351593522440. Its totient is φ = 2089327067136.

The previous prime is 2220429723311. The next prime is 2220429723451. The reversal of 2220429723329 is 9233279240222.

2220429723329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 968767747600 + 1251661975729 = 984260^2 + 1118777^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2220429723329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2220429713329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15210944 + ... + 15356225.

It is an arithmetic number, because the mean of its divisors is an integer number (293949190305).

Almost surely, 22220429723329 is an apocalyptic number.

It is an amenable number.

2220429723329 is a deficient number, since it is larger than the sum of its proper divisors (131163799111).

2220429723329 is a wasteful number, since it uses less digits than its factorization.

2220429723329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30571459.

The product of its (nonzero) digits is 1306368, while the sum is 47.

The spelling of 2220429723329 in words is "two trillion, two hundred twenty billion, four hundred twenty-nine million, seven hundred twenty-three thousand, three hundred twenty-nine".

Divisors: 1 17 4273 72641 30567169 519641873 130613513137 2220429723329