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2234013642 = 233759109919
BaseRepresentation
bin1000010100101000…
…0101011111001010
312202200200122121000
42011022011133022
514033401414032
61005402355430
7106234542210
oct20512053712
95680618530
102234013642
11a47051573
125241bbb76
13297ab0483
141729b2cb0
15d11d9e7c
hex852857ca

2234013642 has 128 divisors (see below), whose sum is σ = 5829120000. Its totient is φ = 621038016.

The previous prime is 2234013631. The next prime is 2234013643. The reversal of 2234013642 is 2463104322.

2234013642 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 0 + 13 + 642 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2234013643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2430459 + ... + 2431377.

It is an arithmetic number, because the mean of its divisors is an integer number (45540000).

Almost surely, 22234013642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234013642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914560000).

2234013642 is an abundant number, since it is smaller than the sum of its proper divisors (3595106358).

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

2234013642 is a wasteful number, since it uses less digits than its factorization.

2234013642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2234013642 is about 47265.3535055013. The cubic root of 2234013642 is about 1307.2599024150.

Adding to 2234013642 its reverse (2463104322), we get a palindrome (4697117964).

The spelling of 2234013642 in words is "two billion, two hundred thirty-four million, thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 109 118 126 177 189 218 327 354 378 413 531 654 763 826 919 981 1062 1239 1526 1593 1838 1962 2289 2478 2757 2943 3186 3717 4578 5514 5886 6431 6433 6867 7434 8271 11151 12862 12866 13734 16542 19293 19299 20601 22302 24813 38586 38598 41202 45017 49626 54221 57879 57897 90034 100171 108442 115758 115794 135051 162663 173637 173691 200342 270102 300513 325326 347274 347382 379547 405153 487989 601026 701197 759094 810306 901539 975978 1138641 1215459 1402394 1463967 1803078 2103591 2277282 2430918 2704617 2927934 3415923 4207182 5409234 5910089 6310773 6831846 10247769 11820178 12621546 17730267 18932319 20495538 35460534 37864638 41370623 53190801 82741246 106381602 124111869 159572403 248223738 319144806 372335607 744671214 1117006821 2234013642