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199966144 = 267446353
BaseRepresentation
bin10111110101100…
…11110111000000
3111221021022222111
423322303313000
5402142404034
631501545104
74645453450
oct1372636700
9457238874
10199966144
11a296a584
1256b75194
1332574a81
141c7b3d60
151284e364
hexbeb3dc0

199966144 has 28 divisors (see below), whose sum is σ = 453495664. Its totient is φ = 85699584.

The previous prime is 199966079. The next prime is 199966147. The reversal of 199966144 is 441669991.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199966147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 222729 + ... + 223624.

Almost surely, 2199966144 is an apocalyptic number.

199966144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

199966144 is an abundant number, since it is smaller than the sum of its proper divisors (253529520).

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

199966144 is an equidigital number, since it uses as much as digits as its factorization.

199966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446372 (or 446362 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 199966144 is about 14140.9385827108. The cubic root of 199966144 is about 584.7705472656.

The spelling of 199966144 in words is "one hundred ninety-nine million, nine hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 446353 892706 1785412 3124471 3570824 6248942 7141648 12497884 14283296 24995768 28566592 49991536 99983072 199966144