Search a number
-
+
5205042234 = 233771193943
BaseRepresentation
bin1001101100011111…
…01010010000111010
3111102202012112122000
410312033222100322
541124442322414
62220254041430
7242662062150
oct46617522072
914382175560
105205042234
1122311242a7
1210131a9276
1364c48cc62
143753d73d0
15206e59b09
hex1363ea43a

5205042234 has 64 divisors (see below), whose sum is σ = 13405409280. Its totient is φ = 1466201520.

The previous prime is 5205042211. The next prime is 5205042251. The reversal of 5205042234 is 4322405025.

It is a happy number.

5205042234 is a `hidden beast` number, since 5 + 205 + 0 + 422 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5205042198 and 5205042207.

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 31 ways as a sum of consecutive naturals, for example, 70134 + ... + 123809.

It is an arithmetic number, because the mean of its divisors is an integer number (209459520).

Almost surely, 25205042234 is an apocalyptic number.

5205042234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5205042234 is an abundant number, since it is smaller than the sum of its proper divisors (8200367046).

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

5205042234 is a wasteful number, since it uses less digits than its factorization.

5205042234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194032 (or 194026 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 5205042234 is about 72145.9786405313. The cubic root of 5205042234 is about 1733.0380016144.

Adding to 5205042234 its reverse (4322405025), we get a palindrome (9527447259).

The spelling of 5205042234 in words is "five billion, two hundred five million, forty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 126 142 189 213 378 426 497 639 994 1278 1491 1917 2982 3834 4473 8946 13419 26838 193943 387886 581829 1163658 1357601 1745487 2715202 3490974 4072803 5236461 8145606 10472922 12218409 13769953 24436818 27539906 36655227 41309859 73310454 82619718 96389671 123929577 192779342 247859154 289169013 371788731 578338026 743577462 867507039 1735014078 2602521117 5205042234