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2220813509 is a prime number
BaseRepresentation
bin1000010001011110…
…1110110011000101
312201202212000102012
42010113232303011
514022012013014
61004211424005
7106014413645
oct20427566305
95652760365
102220813509
11a3a656072
1251b8b5005
1329513b145
14170d38525
15cee7dc3e
hex845eecc5

2220813509 has 2 divisors, whose sum is σ = 2220813510. Its totient is φ = 2220813508.

The previous prime is 2220813467. The next prime is 2220813541. The reversal of 2220813509 is 9053180222.

It is a happy number.

2220813509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2220813541) can be obtained adding 2220813509 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2220482884 + 330625 = 47122^2 + 575^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220813509 - 28 = 2220813253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220813559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110406754 + 1110406755.

It is an arithmetic number, because the mean of its divisors is an integer number (1110406755).

Almost surely, 22220813509 is an apocalyptic number.

It is an amenable number.

2220813509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220813509 is an equidigital number, since it uses as much as digits as its factorization.

2220813509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2220813509 is about 47125.5080503118. The cubic root of 2220813509 is about 1304.6800758115.

The spelling of 2220813509 in words is "two billion, two hundred twenty million, eight hundred thirteen thousand, five hundred nine".