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5122432224 = 253671319127
BaseRepresentation
bin1001100010101001…
…00001110011100000
3111012222202112000000
410301110201303200
540442320312344
62204143300000
7240636645510
oct46124416340
914188675000
105122432224
112199530168
12bab5aa600
136383278b0
14368451840
151eea8ca69
hex131521ce0

5122432224 has 672 divisors, whose sum is σ = 19743252480. Its totient is φ = 1269789696.

The previous prime is 5122432213. The next prime is 5122432241. The reversal of 5122432224 is 4222342215.

5122432224 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 432 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40334049 + ... + 40334175.

It is an arithmetic number, because the mean of its divisors is an integer number (29379840).

Almost surely, 25122432224 is an apocalyptic number.

5122432224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5122432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9871626240).

5122432224 is an abundant number, since it is smaller than the sum of its proper divisors (14620820256).

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

5122432224 is a wasteful number, since it uses less digits than its factorization.

5122432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 5122432224 is about 71571.1689439260. The cubic root of 5122432224 is about 1723.8206290164.

Adding to 5122432224 its reverse (4222342215), we get a palindrome (9344774439).

Subtracting from 5122432224 its reverse (4222342215), we obtain a palindrome (900090009).

The spelling of 5122432224 in words is "five billion, one hundred twenty-two million, four hundred thirty-two thousand, two hundred twenty-four".