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2234345000 = 2354895021
BaseRepresentation
bin1000010100101101…
…0110011000101000
312202201022111010112
42011023112120220
514033443020000
61005413433452
7106240422236
oct20513263050
95681274115
102234345000
11a47258518
1252433b888
13297b98244
14172a5b956
15d1253235
hex852d6628

2234345000 has 80 divisors (see below), whose sum is σ = 5294945700. Its totient is φ = 883520000.

The previous prime is 2234344999. The next prime is 2234345063. The reversal of 2234345000 is 5434322.

It can be written as a sum of positive squares in 10 ways, for example, as 99720196 + 2134624804 = 9986^2 + 46202^2 .

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 19 ways as a sum of consecutive naturals, for example, 442490 + ... + 447510.

Almost surely, 22234345000 is an apocalyptic number.

2234345000 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 2234345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647472850).

2234345000 is an abundant number, since it is smaller than the sum of its proper divisors (3060600700).

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

2234345000 is an equidigital number, since it uses as much as digits as its factorization.

2234345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2234345000 is about 47268.8586703762. The cubic root of 2234345000 is about 1307.3245319237.

Adding to 2234345000 its reverse (5434322), we get a palindrome (2239779322).

The spelling of 2234345000 in words is "two billion, two hundred thirty-four million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 625 712 890 1000 1250 1780 2225 2500 3560 4450 5000 5021 8900 10042 11125 17800 20084 22250 25105 40168 44500 50210 55625 89000 100420 111250 125525 200840 222500 251050 445000 446869 502100 627625 893738 1004200 1255250 1787476 2234345 2510500 3138125 3574952 4468690 5021000 6276250 8937380 11171725 12552500 17874760 22343450 25105000 44686900 55858625 89373800 111717250 223434500 279293125 446869000 558586250 1117172500 2234345000