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198004440 = 233517312101
BaseRepresentation
bin10111100110101…
…00111011011000
3111210120200000210
423303110323120
5401142120230
631351531120
74623003264
oct1363247330
9453520023
10198004440
11a184a737
1256389aa0
1332038bba
141c4230a4
15125b2eb0
hexbcd4ed8

198004440 has 192 divisors, whose sum is σ = 656333280. Its totient is φ = 47616000.

The previous prime is 198004421. The next prime is 198004481. The reversal of 198004440 is 44400891.

198004440 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 198004398 and 198004407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1960390 + ... + 1960490.

Almost surely, 2198004440 is an apocalyptic number.

198004440 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 198004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328166640).

198004440 is an abundant number, since it is smaller than the sum of its proper divisors (458328840).

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

198004440 is a wasteful number, since it uses less digits than its factorization.

198004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 198004440 is about 14071.4050471159. The cubic root of 198004440 is about 582.8520249317.

The spelling of 198004440 in words is "one hundred ninety-eight million, four thousand, four hundred forty".