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2234123424 = 253313443449
BaseRepresentation
bin1000010100101010…
…0000010010100000
312202200220020012000
42011022200102200
514033413422144
61005405004000
7106235510241
oct20512402240
95680806160
102234123424
11a47116aa5
12524253600
13297b1b430
14172a00cc8
15d120c769
hex852a04a0

2234123424 has 192 divisors, whose sum is σ = 7048944000. Its totient is φ = 684343296.

The previous prime is 2234123413. The next prime is 2234123443. The reversal of 2234123424 is 4243214322.

2234123424 is a `hidden beast` number, since 2 + 234 + 1 + 2 + 3 + 424 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4975552 + ... + 4976000.

It is an arithmetic number, because the mean of its divisors is an integer number (36713250).

Almost surely, 22234123424 is an apocalyptic number.

2234123424 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 2234123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524472000).

2234123424 is an abundant number, since it is smaller than the sum of its proper divisors (4814820576).

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

2234123424 is a wasteful number, since it uses less digits than its factorization.

2234123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 910 counting only the distinct ones).

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

The square root of 2234123424 is about 47266.5148281529. The cubic root of 2234123424 is about 1307.2813154827.

Adding to 2234123424 its reverse (4243214322), we get a palindrome (6477337746).

The spelling of 2234123424 in words is "two billion, two hundred thirty-four million, one hundred twenty-three thousand, four hundred twenty-four".