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2234113002 = 234113473613
BaseRepresentation
bin1000010100101001…
…1101101111101010
312202200212200220000
42011022131233222
514033413104002
61005404443430
7106235434662
oct20512355752
95680780800
102234113002
11a4710a190
12524249576
13297b16774
141729db1a2
15d120961c
hex8529dbea

2234113002 has 80 divisors (see below), whose sum is σ = 5478419232. Its totient is φ = 674866080.

The previous prime is 2234112989. The next prime is 2234113019. The reversal of 2234113002 is 2003114322.

2234113002 is a `hidden beast` number, since 22 + 341 + 1 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 616548 + ... + 620160.

Almost surely, 22234113002 is an apocalyptic number.

2234113002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234113002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739209616).

2234113002 is an abundant number, since it is smaller than the sum of its proper divisors (3244306230).

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

2234113002 is a wasteful number, since it uses less digits than its factorization.

2234113002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2234113002 is about 47266.4045808437. The cubic root of 2234113002 is about 1307.2792826933.

Adding to 2234113002 its reverse (2003114322), we get a palindrome (4237227324).

The spelling of 2234113002 in words is "two billion, two hundred thirty-four million, one hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 347 594 694 891 1041 1782 2082 3123 3613 3817 6246 7226 7634 9369 10839 11451 18738 21678 22902 28107 32517 34353 39743 56214 65034 68706 79486 97551 103059 119229 195102 206118 238458 292653 309177 357687 585306 618354 715374 1073061 1253711 2146122 2507422 3219183 3761133 6438366 7522266 11283399 13790821 22566798 27581642 33850197 41372463 67700394 82744926 101550591 124117389 203101182 248234778 372352167 744704334 1117056501 2234113002