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199062304 = 2572791607
BaseRepresentation
bin10111101110101…
…11001100100000
3111212120102010221
423313113030200
5401424443204
631430332424
74635000400
oct1367271440
9455512127
10199062304
11a2402501
12567ba114
133231955c
141c61a800
1512721654
hexbdd7320

199062304 has 72 divisors (see below), whose sum is σ = 461946240. Its totient is φ = 84180096.

The previous prime is 199062247. The next prime is 199062307. The reversal of 199062304 is 403260991.

It is a self number, because there is not a number n which added to its sum of digits gives 199062304.

It is not an unprimeable number, because it can be changed into a prime (199062307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123069 + ... + 124675.

It is an arithmetic number, because the mean of its divisors is an integer number (6415920).

Almost surely, 2199062304 is an apocalyptic number.

199062304 is a gapful number since it is divisible by the number (14) 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 199062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230973120).

199062304 is an abundant number, since it is smaller than the sum of its proper divisors (262883936).

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

199062304 is a wasteful number, since it uses less digits than its factorization.

199062304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 199062304 is about 14108.9441135756. The cubic root of 199062304 is about 583.8881689914. Note that the first 3 decimals are identical.

The spelling of 199062304 in words is "one hundred ninety-nine million, sixty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 79 98 112 158 196 224 316 392 553 632 784 1106 1264 1568 1607 2212 2528 3214 3871 4424 6428 7742 8848 11249 12856 15484 17696 22498 25712 30968 44996 51424 61936 78743 89992 123872 126953 157486 179984 253906 314972 359968 507812 629944 888671 1015624 1259888 1777342 2031248 2519776 3554684 4062496 6220697 7109368 12441394 14218736 24882788 28437472 49765576 99531152 199062304