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199544640 = 26351712227
BaseRepresentation
bin10111110010011…
…00111101000000
3111220110220210020
423321030331000
5402040412030
631444533440
74642046541
oct1371147500
9456426706
10199544640
11a2701929
12569b1280
1332457c69
141c7044c8
15127b9510
hexbe4cf40

199544640 has 112 divisors (see below), whose sum is σ = 670876992. Its totient is φ = 50077696.

The previous prime is 199544633. The next prime is 199544641. The reversal of 199544640 is 46445991.

199544640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 199544592 and 199544601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199544641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10207 + ... + 22433.

Almost surely, 2199544640 is an apocalyptic number.

199544640 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 199544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335438496).

199544640 is an abundant number, since it is smaller than the sum of its proper divisors (471332352).

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

199544640 is a wasteful number, since it uses less digits than its factorization.

199544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264 (or 12254 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 199544640 is about 14126.0270423074. The cubic root of 199544640 is about 584.3593834751.

The spelling of 199544640 in words is "one hundred ninety-nine million, five hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 12227 16320 24454 36681 48908 61135 73362 97816 122270 146724 183405 195632 207859 244540 293448 366810 391264 415718 489080 586896 623577 733620 782528 831436 978160 1039295 1173792 1247154 1467240 1662872 1956320 2078590 2347584 2494308 2934480 3117885 3325744 3912640 4157180 4988616 5868960 6235770 6651488 8314360 9977232 11737920 12471540 13302976 16628720 19954464 24943080 33257440 39908928 49886160 66514880 99772320 199544640