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5205242214 = 2323714275477
BaseRepresentation
bin1001101100100000…
…11011000101100110
3111102202120200221200
410312100123011212
541130020222324
62220302223330
7242663554164
oct46620330546
914382520850
105205242214
112231250577
121013284b46
1364c52cca3
1437544a234
15206e98ec9
hex13641b166

5205242214 has 48 divisors (see below), whose sum is σ = 11593069488. Its totient is φ = 1686695616.

The previous prime is 5205242167. The next prime is 5205242233. The reversal of 5205242214 is 4122425025.

5205242214 is a `hidden beast` number, since 5 + 205 + 242 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947644 + ... + 953120.

It is an arithmetic number, because the mean of its divisors is an integer number (241522281).

Almost surely, 25205242214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205242214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796534744).

5205242214 is an abundant number, since it is smaller than the sum of its proper divisors (6387827274).

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

5205242214 is a wasteful number, since it uses less digits than its factorization.

5205242214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5205242214 is about 72147.3645672522. The cubic root of 5205242214 is about 1733.0601960230.

Adding to 5205242214 its reverse (4122425025), we get a palindrome (9327667239).

It can be divided in two parts, 520524221 and 4, that added together give a square (520524225 = 228152).

The spelling of 5205242214 in words is "five billion, two hundred five million, two hundred forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1427 2854 4281 5477 8562 10954 12843 16431 25686 32862 49293 52799 98586 105598 158397 202649 316794 405298 475191 607947 950382 1215894 1823841 3647682 7815679 15631358 23447037 46894074 70341111 140682222 289180123 578360246 867540369 1735080738 2602621107 5205242214