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195021225 = 325274192
BaseRepresentation
bin10111001111111…
…00100110101001
3111120222002211100
423213330212221
5344411134400
631203552013
74555440000
oct1347744651
9446862740
10195021225
11a00a2373
125538b609
1331533099
141bc87c37
15121c4100
hexb9fc9a9

195021225 has 135 divisors (see below), whose sum is σ = 430073943. Its totient is φ = 84460320.

The previous prime is 195021193. The next prime is 195021251. The reversal of 195021225 is 522120591.

The square root of 195021225 is 13965.

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., 70207641 + 124813584 = 8379^2 + 11172^2 .

It is not a de Polignac number, because 195021225 - 25 = 195021193 is a prime.

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 134 ways as a sum of consecutive naturals, for example, 10264266 + ... + 10264284.

Almost surely, 2195021225 is an apocalyptic number.

195021225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

195021225 is the 13965-th square number.

195021225 is the 6983-rd centered octagonal number.

It is an amenable number.

195021225 is an abundant number, since it is smaller than the sum of its proper divisors (235052718).

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

195021225 is an equidigital number, since it uses as much as digits as its factorization.

195021225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The cubic root of 195021225 is about 579.9100385640.

The spelling of 195021225 in words is "one hundred ninety-five million, twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 49 57 63 75 95 105 133 147 171 175 225 245 285 315 343 361 399 441 475 525 665 735 855 931 1029 1083 1197 1225 1425 1575 1715 1805 1995 2205 2401 2527 2793 3087 3249 3325 3675 4275 4655 5145 5415 5985 6517 7203 7581 8379 8575 9025 9975 11025 12005 12635 13965 15435 16245 17689 19551 21609 22743 23275 25725 27075 29925 32585 36015 37905 41895 45619 53067 58653 60025 63175 69825 77175 81225 88445 97755 108045 113715 123823 136857 159201 162925 180075 189525 209475 228095 265335 293265 371469 410571 442225 488775 540225 568575 619115 684285 796005 866761 1114407 1140475 1326675 1466325 1857345 2052855 2600283 3095575 3421425 3980025 4333805 5572035 7800849 9286725 10264275 13001415 21669025 27860175 39004245 65007075 195021225