Search a number
-
+
5031824220 = 22335172941461
BaseRepresentation
bin1001010111110101…
…11000101101011100
3110222200021011012000
410223322320231130
540301121333340
62151145242300
7235456541313
oct45372705534
913880234160
105031824220
112152374015
12b85193390
13622621ca7
1435a3c727a
151e6b40d30
hex12beb8b5c

5031824220 has 384 divisors, whose sum is σ = 17603308800. Its totient is φ = 1187020800.

The previous prime is 5031824219. The next prime is 5031824221. The reversal of 5031824220 is 224281305.

It is an interprime number because it is at equal distance from previous prime (5031824219) and next prime (5031824221).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5031824221) 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 127 ways as a sum of consecutive naturals, for example, 10914790 + ... + 10915250.

It is an arithmetic number, because the mean of its divisors is an integer number (45841950).

Almost surely, 25031824220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5031824220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801654400).

5031824220 is an abundant number, since it is smaller than the sum of its proper divisors (12571484580).

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

5031824220 is a wasteful number, since it uses less digits than its factorization.

5031824220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5031824220 is about 70935.3523992092. The cubic root of 5031824220 is about 1713.5961867996.

The spelling of 5031824220 in words is "five billion, thirty-one million, eight hundred twenty-four thousand, two hundred twenty".