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2232134424 = 2332133103137
BaseRepresentation
bin1000010100001011…
…1010101100011000
312202120011011210100
42011002322230120
514032411300144
61005254215400
7106212554352
oct20502725430
95676134710
102232134424
11a45a886a3
12523654560
132975a3000
141726440d2
15d0e68269
hex850bab18

2232134424 has 192 divisors, whose sum is σ = 6660763200. Its totient is φ = 675177984.

The previous prime is 2232134417. The next prime is 2232134453. The reversal of 2232134424 is 4244312322.

2232134424 is a `hidden beast` number, since 2 + 2 + 3 + 213 + 442 + 4 = 666.

It is a super-3 number, since 3×22321344243 (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 16292884 + ... + 16293020.

It is an arithmetic number, because the mean of its divisors is an integer number (34691475).

Almost surely, 22232134424 is an apocalyptic number.

2232134424 is a gapful number since it is divisible by the number (24) 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 2232134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330381600).

2232134424 is an abundant number, since it is smaller than the sum of its proper divisors (4428628776).

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

2232134424 is a wasteful number, since it uses less digits than its factorization.

2232134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 258 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2232134424 is about 47245.4698780740. The cubic root of 2232134424 is about 1306.8932505975.

Adding to 2232134424 its reverse (4244312322), we get a palindrome (6476446746).

The spelling of 2232134424 in words is "two billion, two hundred thirty-two million, one hundred thirty-four thousand, four hundred twenty-four".