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199344496 = 24132341669
BaseRepresentation
bin10111110000111…
…00000101110000
3111220002202020111
423320130011300
5402013010441
631440351104
74640254201
oct1370340560
9456082214
10199344496
11a258551a
1256915494
13323b7b30
141c6915a8
151277a081
hexbe1c170

199344496 has 40 divisors (see below), whose sum is σ = 434034720. Its totient is φ = 88002816.

The previous prime is 199344479. The next prime is 199344557. The reversal of 199344496 is 694443991.

199344496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 16051 + ... + 25618.

It is an arithmetic number, because the mean of its divisors is an integer number (10850868).

It is the magic constant of a 736 × 736 magic square.

Almost surely, 2199344496 is an apocalyptic number.

199344496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199344496 is an abundant number, since it is smaller than the sum of its proper divisors (234690224).

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

199344496 is a wasteful number, since it uses less digits than its factorization.

199344496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41713 (or 41707 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 199344496 is about 14118.9410367775. The cubic root of 199344496 is about 584.1639465899.

The spelling of 199344496 in words is "one hundred ninety-nine million, three hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 4784 41669 83338 166676 333352 541697 666704 958387 1083394 1916774 2166788 3833548 4333576 7667096 8667152 12459031 15334192 24918062 49836124 99672248 199344496