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196927375225 = 52723124092
BaseRepresentation
bin1011011101100111001…
…0010100011101111001
3200211022012121011200211
42313121302110131321
511211301402001400
6230244525031121
720141021033200
oct2673162243571
9624265534624
10196927375225
1176575407789
12321ba6b54a1
131575488a4c9
149761db2237
1551c8836dba
hex2dd9c94779

196927375225 has 81 divisors (see below), whose sum is σ = 294235827021. Its totient is φ = 130360406400.

The previous prime is 196927375223. The next prime is 196927375237. The reversal of 196927375225 is 522573729691.

It is a happy number.

The square root of 196927375225 is 443765.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22614445161 + 174312930064 = 150381^2 + 417508^2 .

It is not a de Polignac number, because 196927375225 - 21 = 196927375223 is a prime.

It is a super-2 number, since 2×1969273752252 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 196927375225.

It is not an unprimeable number, because it can be changed into a prime (196927375223) 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, 481484821 + ... + 481485229.

Almost surely, 2196927375225 is an apocalyptic number.

196927375225 is the 443765-th square number.

196927375225 is the 221883-rd centered octagonal number.

It is an amenable number.

196927375225 is a deficient number, since it is larger than the sum of its proper divisors (97308451796).

196927375225 is an frugal number, since it uses more digits than its factorization.

196927375225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 452 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 58.

The spelling of 196927375225 in words is "one hundred ninety-six billion, nine hundred twenty-seven million, three hundred seventy-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 31 35 49 155 175 217 245 409 775 961 1085 1225 1519 2045 2863 4805 5425 6727 7595 10225 12679 14315 20041 24025 33635 37975 47089 63395 71575 88753 100205 167281 168175 235445 316975 393049 443765 501025 621271 836405 1170967 1177225 1965245 2218825 2751343 3106355 4182025 5185711 5854835 8196769 9826225 13756715 15531775 19259401 25928555 29274175 36299977 40983845 68783575 96297005 129642775 160757041 181499885 204919225 254099839 481485025 803785205 907499425 1125299287 1270499195 4018926025 5626496435 6352495975 7877095009 28132482175 39385475045 196927375225