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23201044146 = 2327616074973
BaseRepresentation
bin10101100110111000…
…111101011010110010
32012212220212011022100
4111212320331122302
5340003431403041
614354114521230
71450641423060
oct254670753262
965786764270
1023201044146
119926425955
1245b5b96216
1322599207b7
1411a14a3030
1590bcc36b6
hex566e3d6b2

23201044146 has 96 divisors (see below), whose sum is σ = 58499970048. Its totient is φ = 6508149120.

The previous prime is 23201044129. The next prime is 23201044157. The reversal of 23201044146 is 64144010232.

It is a happy number.

23201044146 is a `hidden beast` number, since 232 + 0 + 10 + 4 + 414 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4662916 + ... + 4667888.

It is an arithmetic number, because the mean of its divisors is an integer number (609374688).

Almost surely, 223201044146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23201044146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29249985024).

23201044146 is an abundant number, since it is smaller than the sum of its proper divisors (35298925902).

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

23201044146 is a wasteful number, since it uses less digits than its factorization.

23201044146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 23201044146 its reverse (64144010232), we get a palindrome (87345054378).

The spelling of 23201044146 in words is "twenty-three billion, two hundred one million, forty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 607 854 1098 1214 1281 1821 2562 3642 3843 4249 4973 5463 7686 8498 9946 10926 12747 14919 25494 29838 34811 37027 38241 44757 69622 74054 76482 89514 104433 111081 208866 222162 259189 303353 313299 333243 518378 606706 626598 666486 777567 910059 1555134 1820118 2123471 2332701 2730177 3018611 4246942 4665402 5460354 6037222 6370413 9055833 12740826 18111666 19111239 21130277 27167499 38222478 42260554 54334998 63390831 126781662 184135271 190172493 368270542 380344986 552405813 1104811626 1288946897 1657217439 2577893794 3314434878 3866840691 7733681382 11600522073 23201044146