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196522560 = 263251329181
BaseRepresentation
bin10111011011010…
…11001001000000
3111200210101021100
423231223021000
5400302210220
631300054400
74604262033
oct1355531100
9450711240
10196522560
11a0a28343
1255994400
133193a550
141c15901a
15123bdd90
hexbb6b240

196522560 has 336 divisors, whose sum is σ = 757214640. Its totient is φ = 46448640.

The previous prime is 196522559. The next prime is 196522583. The reversal of 196522560 is 65225691.

196522560 is a `hidden beast` number, since 1 + 96 + 5 + 2 + 2 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 61591104 + 134931456 = 7848^2 + 11616^2 .

It is a super-2 number, since 2×1965225602 = 77242233177907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085670 + ... + 1085850.

It is an arithmetic number, because the mean of its divisors is an integer number (2253615).

Almost surely, 2196522560 is an apocalyptic number.

196522560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378607320).

196522560 is an abundant number, since it is smaller than the sum of its proper divisors (560692080).

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

196522560 is a wasteful number, since it uses less digits than its factorization.

196522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

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

The square root of 196522560 is about 14018.6504343321. The cubic root of 196522560 is about 581.3943463911.

The spelling of 196522560 in words is "one hundred ninety-six million, five hundred twenty-two thousand, five hundred sixty".