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9887319225 = 3252729472
BaseRepresentation
bin10010011010101010…
…01000010010111001
3221112001201212011100
421031111020102321
5130222123203400
64313035322013
7500005553400
oct111525102271
927461655140
109887319225
114214152303
121abb2b0309
13c17556b64
1469b1d0637
153cd051100
hex24d5484b9

9887319225 has 81 divisors (see below), whose sum is σ = 20622376047. Its totient is φ = 4515144480.

The previous prime is 9887319223. The next prime is 9887319241. The reversal of 9887319225 is 5229137889.

The square root of 9887319225 is 99435.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3559434921 + 6327884304 = 59661^2 + 79548^2 .

It is not a de Polignac number, because 9887319225 - 21 = 9887319223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9887319223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10440202 + ... + 10441148.

Almost surely, 29887319225 is an apocalyptic number.

9887319225 is the 99435-th square number.

9887319225 is the 49718-th centered octagonal number.

It is an amenable number.

9887319225 is an abundant number, since it is smaller than the sum of its proper divisors (10735056822).

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

9887319225 is an equidigital number, since it uses as much as digits as its factorization.

9887319225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 962 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The cubic root of 9887319225 is about 2146.3119917867.

The spelling of 9887319225 in words is "nine billion, eight hundred eighty-seven million, three hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 947 1225 1575 2205 2841 3675 4735 6629 8523 11025 14205 19887 23675 33145 42615 46403 59661 71025 99435 139209 165725 213075 232015 298305 417627 497175 696045 896809 1160075 1491525 2088135 2690427 3480225 4484045 6277663 8071281 10440675 13452135 18832989 22420225 31388315 40356405 43943641 56498967 67260675 94164945 131830923 156941575 201782025 219718205 282494835 395492769 470824725 659154615 1098591025 1412474175 1977463845 3295773075 9887319225