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2234353000 = 235311229887
BaseRepresentation
bin1000010100101101…
…1000010101101000
312202201022220002211
42011023120111220
514033443244000
61005413534504
7106240454455
oct20513302550
95681286084
102234353000
11a47263530
12524344434
13297b9ba89
14172a6082c
15d12557ba
hex852d8568

2234353000 has 128 divisors (see below), whose sum is σ = 5735059200. Its totient is φ = 808032000.

The previous prime is 2234352997. The next prime is 2234353019. The reversal of 2234353000 is 3534322.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 2518557 + ... + 2519443.

It is an arithmetic number, because the mean of its divisors is an integer number (44805150).

Almost surely, 22234353000 is an apocalyptic number.

2234353000 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 2234353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867529600).

2234353000 is an abundant number, since it is smaller than the sum of its proper divisors (3500706200).

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

2234353000 is a wasteful number, since it uses less digits than its factorization.

2234353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 2234353000 is about 47268.9432926102. The cubic root of 2234353000 is about 1307.3260921996.

Adding to 2234353000 its reverse (3534322), we get a palindrome (2237887322).

The spelling of 2234353000 in words is "two billion, two hundred thirty-four million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 229 250 275 440 458 500 550 887 916 1000 1100 1145 1375 1774 1832 2200 2290 2519 2750 3548 4435 4580 5038 5500 5725 7096 8870 9160 9757 10076 11000 11450 12595 17740 19514 20152 22175 22900 25190 28625 35480 39028 44350 45800 48785 50380 57250 62975 78056 88700 97570 100760 110875 114500 125950 177400 195140 203123 221750 229000 243925 251900 314875 390280 406246 443500 487850 503800 629750 812492 887000 975700 1015615 1219625 1259500 1624984 1951400 2031230 2234353 2439250 2519000 4062460 4468706 4878500 5078075 8124920 8937412 9757000 10156150 11171765 17874824 20312300 22343530 25390375 40624600 44687060 50780750 55858825 89374120 101561500 111717650 203123000 223435300 279294125 446870600 558588250 1117176500 2234353000