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199366848 = 26321918217
BaseRepresentation
bin10111110001000…
…01100011000000
3111220010212220100
423320201203000
5402014214343
631441042400
74640406312
oct1370414300
9456125810
10199366848
11a25a029a
1256926400
13323c5065
141c6997b2
15127819d3
hexbe218c0

199366848 has 84 divisors (see below), whose sum is σ = 601558360. Its totient is φ = 62954496.

The previous prime is 199366823. The next prime is 199366873. The reversal of 199366848 is 848663991.

199366848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199366823) and next prime (199366873).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 199366794 and 199366803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1836 + ... + 20052.

Almost surely, 2199366848 is an apocalyptic number.

199366848 is a gapful number since it is divisible by the number (18) 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 199366848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300779180).

199366848 is an abundant number, since it is smaller than the sum of its proper divisors (402191512).

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

199366848 is a wasteful number, since it uses less digits than its factorization.

199366848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18254 (or 18241 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 199366848 is about 14119.7325753712. The cubic root of 199366848 is about 584.1857793882.

The spelling of 199366848 in words is "one hundred ninety-nine million, three hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 18217 36434 54651 72868 109302 145736 163953 218604 291472 327906 346123 437208 582944 655812 692246 874416 1038369 1165888 1311624 1384492 1748832 2076738 2623248 2768984 3115107 3497664 4153476 5246496 5537968 6230214 8306952 10492992 11075936 12460428 16613904 22151872 24920856 33227808 49841712 66455616 99683424 199366848