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23414223222 = 232131921612437
BaseRepresentation
bin10101110011100110…
…001011000101110110
32020102202222210000200
4111303212023011312
5340423020120342
614431212021330
71456140420315
oct256346130566
966382883020
1023414223222
119a2579a505
124655461846
132291b40670
1411c191627c
1592088294c
hex57398b176

23414223222 has 96 divisors (see below), whose sum is σ = 57558839520. Its totient is φ = 6819240960.

The previous prime is 23414223181. The next prime is 23414223223. The reversal of 23414223222 is 22232241432.

23414223222 is a `hidden beast` number, since 2 + 3 + 414 + 2 + 23 + 222 = 666.

It is a super-2 number, since 2×234142232222 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23414223223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9606588 + ... + 9609024.

It is an arithmetic number, because the mean of its divisors is an integer number (599571245).

Almost surely, 223414223222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23414223222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28779419760).

23414223222 is an abundant number, since it is smaller than the sum of its proper divisors (34144616298).

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

23414223222 is a wasteful number, since it uses less digits than its factorization.

23414223222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4635 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

Adding to 23414223222 its reverse (22232241432), we get a palindrome (45646464654).

The spelling of 23414223222 in words is "twenty-three billion, four hundred fourteen million, two hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2161 2223 2437 4322 4446 4874 6483 7311 12966 14622 19449 21933 28093 31681 38898 41059 43866 46303 56186 63362 82118 84279 92606 95043 123177 138909 168558 190086 246354 252837 277818 285129 369531 416727 505674 533767 570258 601939 739062 833454 1067534 1203878 1601301 1805817 3202602 3611634 4803903 5266357 5417451 9607806 10532714 10834902 15799071 31598142 47397213 68462641 94794426 100060783 136925282 200121566 205387923 300182349 410775846 600364698 616163769 900547047 1232327538 1300790179 1801094094 2601580358 3902370537 7804741074 11707111611 23414223222