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23122304244 = 223213296532609
BaseRepresentation
bin10101100010001100…
…100101110011110100
32012200102200202110200
4111202030211303310
5334323302213434
614342223120500
71445664225504
oct254214456364
965612622420
1023122304244
119895a35456
124593743130
132246511b40
141194c47a04
15904e1d199
hex562325cf4

23122304244 has 144 divisors (see below), whose sum is σ = 65239246800. Its totient is φ = 6856077312.

The previous prime is 23122304213. The next prime is 23122304251. The reversal of 23122304244 is 44240322132.

23122304244 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 230 + 424 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2481235344 + 20641068900 = 49812^2 + 143670^2 .

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8861212 + ... + 8863820.

It is an arithmetic number, because the mean of its divisors is an integer number (453050325).

Almost surely, 223122304244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122304244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32619623400).

23122304244 is an abundant number, since it is smaller than the sum of its proper divisors (42116942556).

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

23122304244 is a wasteful number, since it uses less digits than its factorization.

23122304244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3309 counting only the distinct ones).

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

Adding to 23122304244 its reverse (44240322132), we get a palindrome (67362626376).

The spelling of 23122304244 in words is "twenty-three billion, one hundred twenty-two million, three hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 653 754 1044 1131 1306 1508 1959 2262 2609 2612 3393 3918 4524 5218 5877 6786 7827 7836 8489 10436 11754 13572 15654 16978 18937 23481 23508 25467 31308 33917 33956 37874 46962 50934 56811 67834 75661 75748 76401 93924 101751 101868 113622 135668 151322 152802 170433 203502 226983 227244 246181 302644 305253 305604 340866 407004 453966 492362 610506 680949 681732 738543 907932 983593 984724 1221012 1361898 1477086 1703677 1967186 2215629 2723796 2950779 2954172 3407354 3934372 4431258 5111031 5901558 6814708 8852337 8862516 10222062 11803116 15333093 17704674 20444124 22147801 30666186 35409348 44295602 49406633 61332372 66443403 88591204 98813266 132886806 148219899 197626532 199330209 265773612 296439798 398660418 444659697 592879596 642286229 797320836 889319394 1284572458 1778638788 1926858687 2569144916 3853717374 5780576061 7707434748 11561152122 23122304244