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198666240 = 2113529223
BaseRepresentation
bin10111101011101…
…10100000000000
3111211211021211220
423311312200000
5401324304430
631414035040
74631430603
oct1365664000
9454737756
10198666240
11a2161983
1256648a80
133220b1b6
141c55633a
1512694110
hexbd76800

198666240 has 192 divisors, whose sum is σ = 660441600. Its totient is φ = 50921472.

The previous prime is 198666239. The next prime is 198666241. The reversal of 198666240 is 42666891.

It is an interprime number because it is at equal distance from previous prime (198666239) and next prime (198666241).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 198666192 and 198666201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198666241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890769 + ... + 890991.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2198666240 is an apocalyptic number.

198666240 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 198666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

198666240 is an abundant number, since it is smaller than the sum of its proper divisors (461775360).

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

198666240 is a wasteful number, since it uses less digits than its factorization.

198666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 198666240 is about 14094.9012057552. The cubic root of 198666240 is about 583.5006678216.

It can be divided in two parts, 19866 and 6240, that added together give a triangular number (26106 = T228).

The spelling of 198666240 in words is "one hundred ninety-eight million, six hundred sixty-six thousand, two hundred forty".