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2234844000 = 25335320693
BaseRepresentation
bin1000010100110101…
…0000001101100000
312202202020211122000
42011031100031200
514034110002000
61005432244000
7106244601114
oct20515201540
95682224560
102234844000
11a47569414
12524540600
132980113cc
14172b4b744
15d1301000
hex85350360

2234844000 has 192 divisors, whose sum is σ = 8135225280. Its totient is φ = 595929600.

The previous prime is 2234843999. The next prime is 2234844037. The reversal of 2234844000 is 4484322.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97654 + ... + 118346.

It is an arithmetic number, because the mean of its divisors is an integer number (42370965).

Almost surely, 22234844000 is an apocalyptic number.

2234844000 is a gapful number since it is divisible by the number (20) 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 2234844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067612640).

2234844000 is an abundant number, since it is smaller than the sum of its proper divisors (5900381280).

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

2234844000 is a wasteful number, since it uses less digits than its factorization.

2234844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20727 (or 20703 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2234844000 is about 47274.1366922760. The cubic root of 2234844000 is about 1307.4218470031.

The spelling of 2234844000 in words is "two billion, two hundred thirty-four million, eight hundred forty-four thousand".