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199594340 = 225112671231
BaseRepresentation
bin10111110010110…
…01000101100100
3111220120102221222
423321121011210
5402044004330
631445555512
74642344461
oct1371310544
9456512858
10199594340
11a2736200
1256a15b98
133247477a
141c718668
15127c90e5
hexbe59164

199594340 has 72 divisors (see below), whose sum is σ = 467972736. Its totient is φ = 71438400.

The previous prime is 199594309. The next prime is 199594349. The reversal of 199594340 is 43495991.

It is a happy number.

199594340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 199594291 and 199594300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199594349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161525 + ... + 162755.

Almost surely, 2199594340 is an apocalyptic number.

199594340 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 199594340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233986368).

199594340 is an abundant number, since it is smaller than the sum of its proper divisors (268378396).

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

199594340 is a wasteful number, since it uses less digits than its factorization.

199594340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 199594340 is about 14127.7860969085. The cubic root of 199594340 is about 584.4078943421.

The spelling of 199594340 in words is "one hundred ninety-nine million, five hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 121 134 220 242 268 335 484 605 670 737 1210 1231 1340 1474 2420 2462 2948 3685 4924 6155 7370 8107 12310 13541 14740 16214 24620 27082 32428 40535 54164 67705 81070 82477 135410 148951 162140 164954 270820 297902 329908 412385 595804 744755 824770 907247 1489510 1649540 1814494 2979020 3628988 4536235 9072470 9979717 18144940 19959434 39918868 49898585 99797170 199594340