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196265025 = 365211289
BaseRepresentation
bin10111011001011…
…00010001000001
3111200022022000000
423230230101001
5400220440100
631250350213
74602140145
oct1354542101
9450268000
10196265025
11a0871900
125588b369
133187a268
141c0cd225
151236c900
hexbb2c441

196265025 has 126 divisors (see below), whose sum is σ = 405579510. Its totient is φ = 94089600.

The previous prime is 196265023. The next prime is 196265053. The reversal of 196265025 is 520562691.

196265025 is a `hidden beast` number, since 1 + 9 + 626 + 5 + 0 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1411344 + 194853681 = 1188^2 + 13959^2 .

It is not a de Polignac number, because 196265025 - 21 = 196265023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (196265023) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 2205181 + ... + 2205269.

It is an arithmetic number, because the mean of its divisors is an integer number (3218885).

Almost surely, 2196265025 is an apocalyptic number.

196265025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

196265025 is an abundant number, since it is smaller than the sum of its proper divisors (209314485).

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

196265025 is an equidigital number, since it uses as much as digits as its factorization.

196265025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 196265025 is about 14009.4619811041. The cubic root of 196265025 is about 581.1402706496.

The spelling of 196265025 in words is "one hundred ninety-six million, two hundred sixty-five thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 89 99 121 135 165 225 243 267 275 297 363 405 445 495 605 675 729 801 825 891 979 1089 1215 1335 1485 1815 2025 2225 2403 2475 2673 2937 3025 3267 3645 4005 4455 4895 5445 6075 6675 7209 7425 8019 8811 9075 9801 10769 12015 13365 14685 16335 18225 20025 21627 22275 24475 26433 27225 29403 32307 36045 40095 44055 49005 53845 60075 64881 66825 73425 79299 81675 88209 96921 108135 132165 147015 161535 180225 200475 220275 237897 245025 269225 290763 324405 396495 441045 484605 540675 660825 713691 735075 807675 872289 1189485 1453815 1622025 1982475 2205225 2423025 2616867 3568455 4361445 5947425 7269075 7850601 13084335 17842275 21807225 39253005 65421675 196265025