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23382004725 = 3452296312
BaseRepresentation
bin10101110001101011…
…010001001111110101
32020100112100220120000
4111301223101033311
5340341243122400
614424101301513
71455266521662
oct256153211765
966315326500
1023382004725
119a09594252
124646704899
13228826c971
1411bb52aa69
1591cb1b600
hex571ad13f5

23382004725 has 90 divisors (see below), whose sum is σ = 44876176290. Its totient is φ = 12021307200.

The previous prime is 23382004687. The next prime is 23382004729. The reversal of 23382004725 is 52740028332.

It can be written as a sum of positive squares in 3 ways, for example, as 1580301009 + 21801703716 = 39753^2 + 147654^2 .

It is not a de Polignac number, because 23382004725 - 214 = 23381988341 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23382004725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23382004729) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 37055160 + ... + 37055790.

It is an arithmetic number, because the mean of its divisors is an integer number (498624181).

Almost surely, 223382004725 is an apocalyptic number.

23382004725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23382004725 is a deficient number, since it is larger than the sum of its proper divisors (21494171565).

23382004725 is an frugal number, since it uses more digits than its factorization.

23382004725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 23382004725 in words is "twenty-three billion, three hundred eighty-two million, four thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 631 675 725 783 1305 1893 2025 2175 2349 3155 3915 5679 6525 9465 11745 15775 17037 18299 19575 28395 47325 51111 54897 58725 85185 91495 141975 164691 255555 274485 398161 425925 457475 494073 823455 1194483 1277775 1372425 1482219 1990805 2470365 3583449 4117275 5972415 7411095 9954025 10750347 11546669 12351825 17917245 29862075 32251041 34640007 37055475 53751735 57733345 89586225 103920021 161255205 173200035 268758675 288666725 311760063 519600105 806276025 866000175 935280189 1558800315 2598000525 4676400945 7794001575 23382004725