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199221120 = 27365761
BaseRepresentation
bin10111101111111…
…01111110000000
3111212212111000000
423313331332000
5402000033440
631434000000
74636231410
oct1367757600
9455774000
10199221120
11a250085a
1256876000
1332373927
141c65c640
1512753730
hexbdfdf80

199221120 has 448 divisors, whose sum is σ = 829455840. Its totient is φ = 44789760.

The previous prime is 199221119. The next prime is 199221133. The reversal of 199221120 is 21122991.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265890 + ... + 3265950.

Almost surely, 2199221120 is an apocalyptic number.

199221120 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 199221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414727920).

199221120 is an abundant number, since it is smaller than the sum of its proper divisors (630234720).

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

199221120 is an frugal number, since it uses more digits than its factorization.

199221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 199221120 is about 14114.5711943367. The cubic root of 199221120 is about 584.0434070444.

The spelling of 199221120 in words is "one hundred ninety-nine million, two hundred twenty-one thousand, one hundred twenty".