[go: up one dir, main page]

Search a number
-
+
5205223419 = 311205376831
BaseRepresentation
bin1001101100100000…
…10110011111111011
3111102202112202011120
410312100112133323
541130014122134
62220302000323
7242663445324
oct46620263773
914382482146
105205223419
112231238440
1210132760a3
1364c524576
1437544344b
15206e93649
hex1364167fb

5205223419 has 16 divisors (see below), whose sum is σ = 7575020544. Its totient is φ = 3153103200.

The previous prime is 5205223417. The next prime is 5205223447. The reversal of 5205223419 is 9143225025.

It is not a de Polignac number, because 5205223419 - 21 = 5205223417 is a prime.

It is a super-2 number, since 2×52052234192 = 54188701683412099122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 5205223419.

It is not an unprimeable number, because it can be changed into a prime (5205223417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29334 + ... + 106164.

It is an arithmetic number, because the mean of its divisors is an integer number (473438784).

Almost surely, 25205223419 is an apocalyptic number.

5205223419 is a deficient number, since it is larger than the sum of its proper divisors (2369797125).

5205223419 is a wasteful number, since it uses less digits than its factorization.

5205223419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78898.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5205223419 is about 72147.2343128966. The cubic root of 5205223419 is about 1733.0581101190.

The spelling of 5205223419 in words is "five billion, two hundred five million, two hundred twenty-three thousand, four hundred nineteen".

Divisors: 1 3 11 33 2053 6159 22583 67749 76831 230493 845141 2535423 157734043 473202129 1735074473 5205223419