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99897084225 = 325219211092
BaseRepresentation
bin101110100001001010…
…1001000100101000001
3100112211222222200100100
41131002111020211001
53114042123143400
6113520405113013
710134354130341
oct1350225104501
9315758880310
1099897084225
1139403332a44
121743b3b8769
1395603b7a33
144b99510d21
1528ea1ab100
hex1742548941

99897084225 has 81 divisors (see below), whose sum is σ = 189010051113. Its totient is φ = 50428802880.

The previous prime is 99897084223. The next prime is 99897084227. The reversal of 99897084225 is 52248079899.

It is a happy number.

The square root of 99897084225 is 316065.

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

It is an interprime number because it is at equal distance from previous prime (99897084223) and next prime (99897084227).

It can be written as a sum of positive squares in 4 ways, for example, as 51387902721 + 48509181504 = 226689^2 + 220248^2 .

It is not a de Polignac number, because 99897084225 - 21 = 99897084223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99897084223) 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, 90077971 + ... + 90079079.

Almost surely, 299897084225 is an apocalyptic number.

99897084225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

99897084225 is the 316065-th square number.

99897084225 is the 158033-rd centered octagonal number.

It is an amenable number.

99897084225 is a deficient number, since it is larger than the sum of its proper divisors (89112966888).

99897084225 is a wasteful number, since it uses less digits than its factorization.

99897084225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 99897084225 in words is "ninety-nine billion, eight hundred ninety-seven million, eighty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1109 1425 1805 3249 3327 4275 5415 5545 9025 9981 16245 16635 21071 27075 27725 49905 63213 81225 83175 105355 189639 249525 316065 400349 526775 948195 1201047 1229881 1580325 2001745 3603141 3689643 4740975 6005235 6149405 10008725 11068929 18015705 18448215 23367739 30026175 30747025 55344645 70103217 90078525 92241075 116838695 210309651 276723225 350516085 443987041 584193475 1051548255 1331961123 1752580425 2219935205 3995883369 5257741275 6659805615 11099676025 19979416845 33299028075 99897084225